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Hi Maple friends.

If I have a table of values, how can Maple provide the function?

For example:

x=10,15,20,25,30,35,40

y=2.01,4.87,6.50,9.875,14.00,18.90,24.40

How can Maple find out the y function with respect to x? 

Thanks in advance.

Hi there

I'm taking my first steps with maple and my question is not exactly briliiant

Putting in a simple way, I'm trying to solve sth that looks like this

> li := a*[cos(7*x+8*x*y+9*y)*cos(-7*x-8*x*y-9*y)];
             a [cos(7 x + 8 x y + 9 y) cos(-7 x - 8 x y - 9 y)]

and i want to replace

with

getting (if i do it by hand)

> algsubs(7*x+8*x*y+9*y = 20*y, li);
                    a [cos(20 y) cos(-7 x - 8 x y - 9 y)]

my question, is there an elegant way to do it? sth that would look like this?

 

 

thank you for any tips

Hi There

I'm getting started with maple and facing a doubt about using subs, somehow it does not seem to work, this is my expression:

 

> restart;
> theta := omega*t-k*x;
                                omega t - k x
> phi[1] := -(1/2)*H*c*cosh(k*(z+h))*sin(theta)/sinh(k*h);
                   H c cosh(k (z + h)) sin(-omega t + k x)
                   ---------------------------------------
                                 2 sinh(k h)              
> diff(phi[1], t, t);
                                                             2
                H c cosh(k (z + h)) sin(-omega t + k x) omega
              - ----------------------------------------------
                                 2 sinh(k h)                  
> td := simplify(subs(z = 0, %));
                                                          2
                   H c cosh(k h) sin(-omega t + k x) omega
                 - ----------------------------------------
                                 2 sinh(k h)               
> simplify(subs(cosh(k*h)/sinh(k*h) = 1/tanh(k*h), %));
                                                          2
                   H c cosh(k h) sin(-omega t + k x) omega
                 - ----------------------------------------
                                 2 sinh(k h)               
I cannot subs cosh/sinh = tanh. I would like to know why.

Any tips? Thank you

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Hollywood Math 2

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Anyone with an interest in mathematics, especially high school and early college math educators, will be both entertained and informed by attending this webinar. At the end of the webinar you’ll be given an opportunity to download an application containing all of the examples that we demonstrate.

To join us for the live presentation, please click here to register.

If you missed the first webinar in this two part series, you can view the 'Hollywood Math' recording on our website.

How to make Decimal number in maple by default? 

How to make radian to degrees? Think It is like this "degcos" but I cant see the correct result, because it is not showed in decimals

Why do I have to active all my varibles when I open the document after I have saved it?

 

Regards

Østerbro

Dear people in Maple Primes,

 

I have a question about how to solve a system of equations.

In the following equation, I want to eliminate D(a).

x := D(a*b*c = 3*d); 
y := D(a^2*b^3*c = 3*a);

 

For this purpose,

a code of 

d_a := isolate(x, D(a));

eval(y, d_a);

works well. But, for me, this code is a little laborious.

Is there any better way than the above way?

 

Thanks in advance.

 

taro yamada

 

 

I wrote a maple code and it returns: if statement error to me.

How can I fix it?

Regards

 

F1 := proc (rlist, deltalist) local sum1, i; sum1 := 0; for i to 8 do sum1 := sum1+rlist[i]*deltalist[i] end do; if `mod`(sum1, 24) = 0 then return true else return false end if end proc;

 F2 := proc (rlist, deltalist) local i, sum2; sum2 := 0; for i to 8 do if deltalist <> 0 then sum2 := sum2+40*rlist[i]/deltalist[i] end if end do; if `mod`(sum2, 24) = 0 then return true else return false end if end proc;

F3 := proc (rlist, deltalist) local product, i; product := 1; for i to 8 do product := product*deltalist[i]^rlist[i] end do; if ceil(sqrt(product)) = sqrt(product) then return true else return false end if end proc;

myProc40:=proc(deltalist) local r1, r2, r4, r5, r8, r10, r20, r40,rlist: for r1 from -1 to 3 do for r2 from -1 to 3 do for r4 from -1 to 3 do for r5 from -1 to 3 do for r8 from -1 to 3 do for r10 from -1 to 3 do for r20 from -1 to 3 do for r40 from -1 to 3 do rlist:=[r1,r2,r4,r5,r8,r10,r20,r40]: if (F1(rlist, deltalist) = true) then if(F2(rlist,deltalist)=true ) then if (F3(rlist, deltalist) = true) then if ((gcd(1,1)^(2)*r1)/(1)+(gcd(1,2)^(2)*r2)/(2)+(gcd(1,4)^(2)*r4)/(4)+(gcd(1,5)^(2)*r5)/(5)+(gcd(1,8)^(2)*r8)/(8)+(gcd(1,10)^(2)*r10)/(10)+(gcd(1,20)^(2)*r20)/(20)+(gcd(1,40)^(2)*r40)/(40)>0) and ((gcd(2,1)^(2)*r1)/(1)+(gcd(2,2)^(2)*r2)/(2)+(gcd(2,4)^(2)*r4)/(4)+(gcd(2,5)^(2)*r5)/(5)+(gcd(2,8)^(2)*r8)/(8)+(gcd(2,10)^(2)*r10)/(10)+(gcd(2,20)^(2)*r20)/(20)+(gcd(2,40)^(2)*r40)/(40)>0) and ((gcd(4,1)^(2)*r1)/(1)+(gcd(4,2)^(2)*r2)/(2)+(gcd(4,4)^(2)*r4)/(4)+(gcd(4,5)^(2)*r5)/(5)+(gcd(4,8)^(2)*r8)/(8)+(gcd(4,10)^(2)*r10)/(10)+(gcd(4,20)^(2)*r20)/(20)+(gcd(4,40)^(2)*r40)/(40)>0) and ((gcd(5,1)^(2)*r1)/(1)+(gcd(5,2)^(2)*r2)/(2)+(gcd(5,4)^(2)*r4)/(4)+(gcd(5,5)^(2)*r5)/(5)+(gcd(5,8)^(2)*r8)/(8)+(gcd(5,10)^(2)*r10)/(10)+(gcd(5,20)^(2)*r20)/(20)+(gcd(5,40)^(2)*r40)/(40)>0) and ((gcd(8,1)^(2)*r1)/(1)+(gcd(8,2)^(2)*r2)/(2)+(gcd(8,4)^(2)*r4)/(4)+(gcd(8,5)^(2)*r5)/(5)+(gcd(8,8)^(2)*r8)/(8)+(gcd(8,10)^(2)*r10)/(10)+(gcd(8,20)^(2)*r20)/(20)+(gcd(8,40)^(2)*r40)/(40)>0) and ((gcd(10,1)^(2)*r1)/(1)+(gcd(10,2)^(2)*r2)/(2)+(gcd(10,4)^(2)*r4)/(4)+(gcd(10,5)^(2)*r5)/(5)+(gcd(10,8)^(2)*r8)/(8)+(gcd(10,10)^(2)*r10)/(10)+(gcd(10,20)^(2)*r20)/(20)+(gcd(10,40)^(2)*r40)/(40)>0) and ((gcd(20,1)^(2)*r1)/(1)+(gcd(20,2)^(2)*r2)/(2)+(gcd(20,4)^(2)*r4)/(4)+(gcd(20,5)^(2)*r5)/(5)+(gcd(20,8)^(2)*r8)/(8)+(gcd(20,10)^(2)*r10)/(10)+(gcd(20,20)^(2)*r20)/(20)+(gcd(20,40)^(2)*r40)/(40)>0) and ((gcd(40,1)^(2)*r1)/(1)+(gcd(40,2)^(2)*r2)/(2)+(gcd(40,4)^(2)*r4)/(4)+(gcd(40,5)^(2)*r5)/(5)+(gcd(40,8)^(2)*r8)/(8)+(gcd(40,10)^(2)*r10)/(10)+(gcd(40,20)^(2)*r20)/(20)+(gcd(40,40)^(2)*r40)/(40)>0 ) then (print(`f(q) is in Sk with the following r values`,rlist)) end if: end if: end if: end if: end do: end do: end do: end do: end do: end do: end do: end do: end proc;

Hi all,

I'm using MAPLE 13 and I'd like to know if someone knows how to generate the variables associated to the CodeGeneration for C code. At this moment I need to create manually the variable generated from the C code.

Example:

JJ := Jacobian(convert(Pint, Vector), [P1xenu, P1yenu, P1zenu, roll, pitch, yaw, D1xbody, D1ybody, P2xenu, P2yenu, P2zenu, ROLL, PITCH, YAW, D2xbody, D2ybody]);

CodeGeneration['C'](JJ, optimize);

Output:

t1 = cov2 * cov2;
t2 = cov1 * cov1;
t4 = 0.1e1 / (t1 + t2);
t5.......

And in the C code I need to create:

double t1, t2, t3..... manually

I can I solve this issue?

Best regards

André Dias

Hi:

i will sole the below non-linear equtions in maple,how?(all initial conditons are zero)

EQ1 := -9.034666667*10^5*Pi^2*q3(t)*q1(t)+3044.230933*Pi*q1(t)*q5(t)+3044.230933*Pi*q1(t)*q4(t)+2.541000000*10^5*q1(t)^3*Pi^4+2.171794873*10^5*q1(t)*Pi^2-2.171794873*10^5*q2(t)*Pi+4.372778665*(diff(q1(t), t, t)) = 0
EQ2 := 54294.87180*q2(t)-54294.87180*q1(t)*Pi-.8371635069*q4(t)*Pi+.8371635069*q5(t)*Pi+1.093194666*q2(t)*Pi^2+0.7054749580e-5*(diff(q2(t), t, t)) = 0
EQ3 := 9.034666667*10^5*q1(t)^2*Pi^2+6.776000000*10^5*Pi^2*q3(t)-2283.173200*q5(t)*Pi-2283.173200*q4(t)*Pi = 0
EQ4 := -1.123134385*10^8*q1(t)*(diff(q1(t), t))+636.6197724-5191.348750*q4(t)-2.035463170*10^7*(diff(q5(t), t))-2.035463170*10^7*(diff(q4(t), t))-5191.348750*q5(t) = 0
EQ5 := .7002817496-29887.90348*q4(t)+29887.90348*q5(t)-135.8992605*(diff(q2(t), t))-7463.364956*(diff(q4(t), t))+7463.364956*(diff(q5(t), t)) = 0

 

How can I solve this problem on Maple?
Can anyone help me please ... I wrote another post before but I can not solve the problem.

lambda is an experimental parameter. I have this initial condition n(x,0)=0.4, c(x,0)=0.

Thanks to everyone

expand( (a+b)^n)

 

convert((a+b)^n,Sum) 

 

none  expands in  binomial  form.  Is there any way for Maple to generate  binomial  expansion of (a+b)^n  without

 

entering  manually.

 

martin

Every time I type

`&Delta;&epsilon;`(T, z)

it becomes 

T Delta&epsilon; z

Is there any way to tell maple to stay what it is as I've typed, just like other function express f(x), etc

 

my int is in below.

my_int.mw

my int has hyperbolic and trigonal parts thus when they are multiplied , Maple is not able to integrate!

 

Now, How can I solve this integral?

thank you for help

my int is:

 

``

restart

eq1 := m*(diff(diff(w(x, t), t), t))+diff(diff(EIy*(diff(diff(w(x, t), x), x))+(EIz-EIy)*(diff(diff(w(x, t), x), x))*(theta(x)+phi(x, t))^2, x), x)-Pz = 0

l := 16; m := .75; EIy := 0.2e5; EIz := 0.400e7; GJ := 0.1e5; mj := .1; Pz := 5000; Mz := 0; theta := proc (x) options operator, arrow; 0 end proc

w := proc (x, t) options operator, arrow; q[1](t)*(cosh(1.8751*x/l)-cos(1.8751*x/l)+(-1)*.734096*(sinh(1.8751*x/l)-sin(1.8751*x/l)))+q[2](t)*(cosh(4.6941*x/l)-cos(4.6941*x/l)+(-1)*1.01847*(sinh(4.6941*x/l)-sin(4.6941*x/l)))+q[3](t)*(cosh(7.8548*x/l)-cos(7.8548*x/l)+(-1)*.999224*(sinh(7.8548*x/l)-sin(7.8548*x/l))) end proc

phi := proc (x, t) options operator, arrow; q[4](t)*sqrt(2)*sin(1.5708*x/l)+q[5](t)*sqrt(2)*sin(4.7124*x/l)+q[6](t)*sqrt(2)*sin(7.8540*x/l) end proc

NULL

f[1] := int(lhs(eq1)*(cosh(1.8751*x/l)-cos(1.8751*x/l)-.734096*(sinh(1.8751*x/l)-sin(1.8751*x/l))), x = 0 .. l)

``

Hi,


Is it possible to solve linear matrix inequality in Maple?
For example, using Matlab and yalmip we can easily
solve Lyapunov equation
  
    A'P + P * A <0, P> 0

Is it possible to solve this equation in the Maple?


Regards,

 

Pleaz i nees help i have probleme withe singularity

restart; with(plots)

Paramétres

 

NULL

``

mb := 5;

5

 

2

 

(1/3)*a*b^3

 

0.4906250000e-1*d

 

.2

 

.4

 

1.2

 

.43

 

9.81

 

1

 

5

 

.5

 

1

(1.1)

``

``

Equation suivant x :

 

``

eq1 := (mp+mb)*(diff(x(t), `$`(t, 2)))+mp*(d+l)*(diff(theta(t), `$`(t, 2)))+mp*l*(diff(alpha(t), `$`(t, 2)))+mp*(d*(diff(theta(t), t))^2*theta(t)+l*(diff(theta(t), t)+diff(alpha(t), t))^2*(alpha(t)+theta(t)))+1000*Am*g*sin(omega*t-k*x(t))*(1+theta(t))*(sinh(k*(h+z(t)-(1/2)*a*theta(t)+(1/2)*b))-sinh(k*(h+z(t)+(1/2)*a*theta(t)+(1/2)*b)))/cosh(k*h) = 0;

7*(diff(diff(x(t), t), t))+1.2*(diff(diff(theta(t), t), t))+.4*(diff(diff(alpha(t), t), t))+.8*(diff(theta(t), t))^2*theta(t)+.4*(diff(theta(t), t)+diff(alpha(t), t))^2*(alpha(t)+theta(t))+11772.000*sin(.43*t-x(t))*(1+theta(t))*(-sinh(-11/2-z(t)+.2500000000*theta(t))-sinh(11/2+z(t)+.2500000000*theta(t)))/cosh(5) = 0

(2.1)

``

Equation suivant z :

 

``

eq2 := (mp+mb)*(diff(z(t), `$`(t, 2)))-mp*(l*(alpha(t)+theta(t))+d*theta(t))*(diff(theta(t), `$`(t, 2)))-mp*l*(alpha(t)+theta(t))*(diff(alpha(t), `$`(t, 2)))+mp*(d*(diff(theta(t), t))^2+l*(diff(theta(t), t)+diff(alpha(t), t))^2)-g*(mp+mb)+1000*g*a*z(t)+1000*g*a*b*(1/2)+1000*Am*g*sin(omega*t-k*x(t))*(1-theta(t))*(sinh(k*(h+z(t)-(1/2)*a*theta(t)+(1/2)*b))-sin(k*(h+z(t)+(1/2)*a*theta(t)+(1/2)*b)))/cosh(k*h) = 0;

7*(diff(diff(z(t), t), t))-2*(.2*alpha(t)+.6*theta(t))*(diff(diff(theta(t), t), t))-.4*(alpha(t)+theta(t))*(diff(diff(alpha(t), t), t))+.8*(diff(theta(t), t))^2+.4*(diff(theta(t), t)+diff(alpha(t), t))^2+2383.830+4905.000*z(t)+11772.000*sin(.43*t-x(t))*(1-theta(t))*(-sinh(-11/2-z(t)+.2500000000*theta(t))-sin(11/2+z(t)+.2500000000*theta(t)))/cosh(5) = 0

(3.1)

``

Equation suivant y :

 

``

eq3 := mp*(d+l)*(diff(x(t), `$`(t, 2)))-mp*(l*(alpha(t)+theta(t))+d*theta(t))*(diff(z(t), `$`(t, 2)))+(Ip+Ib+mp*(d^2+l^2)+2*mp*d*l)*(diff(theta(t), `$`(t, 2)))+(Ip+mp*l^2+mp*d*l*cos(alpha(t)))*(diff(alpha(t), `$`(t, 2)))-mp*alpha(t)*(l*d*(diff(theta(t), t))^2-l*d*(diff(theta(t), t)+diff(alpha(t), t))^2)+mp*g*l*(alpha(t)+theta(t))+mp*g*d*theta(t)+1000*g*a*theta(t)*z(t)^2+1000*g*a*b*theta(t)*z(t)+1000*g*a(theta(t))^9*(1/12)+(1000*g*a*b^2*(1/4))*theta(t)-1000*Am*g*sin(omega*t-k*x(t))*((z(t)-(1/2)*a*theta(t)+(1/2)*b)*sinh(k*(h+z(t)-(1/2)*a*theta(t)+(1/2)*b))/k-cosh(k*(h+z(t)-(1/2)*a*theta(t)+(1/2)*b))/k^2)/cosh(k*h)+1000*Am*g*sin(omega*t-k*x(t))*((z(t)+(1/2)*a*theta(t)+(1/2)*b)*sinh(k*(h+z(t)+(1/2)*a*theta(t)+(1/2)*b))/k-cosh(k*(h+z(t)+(1/2)*a*theta(t)+(1/2)*b))/k^2)/cosh(k*h)-(1000*g*z(t)*(1/2)+1000*g*b*(1/4))*(2*a*x(t)+a*b*theta(t))+1000*g*a*theta(t)*z(t)^2+1000*g*a*b*theta(t)^2*z(t)+(1000*g*a^3*(1/12))*theta(t)+(1000*g*a*b^2*(1/4))*theta(t)^3+(k*theta(t)*(x(t)-(1/2)*a+(1/2)*b*theta(t))*sinh(k*(h+z(t)+(1/2)*b-theta(t)*(x(t)-(1/2)*a+(1/2)*b*theta(t))))-k*theta(t)*(x(t)+(1/2)*a+(1/2)*b*theta(t))*sinh(k*(h+z(t)+(1/2)*b-theta(t)*(x(t)+(1/2)*a+(1/2)*b*theta(t))))-cosh(k*(h+z(t)+(1/2)*b-theta(t)*(x(t)+(1/2)*a+(1/2)*b*theta(t))))+cosh(k*(h+z(t)+(1/2)*b-theta(t)*(x(t)-(1/2)*a+(1/2)*b*theta(t)))))/k^2 = 0;

1.2*(diff(diff(x(t), t), t))-2*(.2*alpha(t)+.6*theta(t))*(diff(diff(z(t), t), t))+.9062916667*(diff(diff(theta(t), t), t))+(0.9962500000e-1+.16*cos(alpha(t)))*(diff(diff(alpha(t), t), t))-2*alpha(t)*(0.8e-1*(diff(theta(t), t))^2-0.8e-1*(diff(theta(t), t)+diff(alpha(t), t))^2)+3.924*alpha(t)+1340.209500*theta(t)+9810.000*theta(t)*z(t)^2+4905.000*theta(t)*z(t)+1.596679687-11772.000*sin(.43*t-x(t))*(-(z(t)-.2500000000*theta(t)+1/2)*sinh(-11/2-z(t)+.2500000000*theta(t))-cosh(-11/2-z(t)+.2500000000*theta(t)))/cosh(5)+11772.000*sin(.43*t-x(t))*((z(t)+.2500000000*theta(t)+1/2)*sinh(11/2+z(t)+.2500000000*theta(t))-cosh(11/2+z(t)+.2500000000*theta(t)))/cosh(5)-(4905.00*z(t)+2452.50)*(1.0*x(t)+.5*theta(t))+4905.000*theta(t)^2*z(t)+1226.250*theta(t)^3-theta(t)*(x(t)-.2500000000+(1/2)*theta(t))*sinh(-11/2-z(t)+theta(t)*(x(t)-.2500000000+(1/2)*theta(t)))+theta(t)*(x(t)+.2500000000+(1/2)*theta(t))*sinh(-11/2-z(t)+theta(t)*(x(t)+.2500000000+(1/2)*theta(t)))-cosh(-11/2-z(t)+theta(t)*(x(t)+.2500000000+(1/2)*theta(t)))+cosh(-11/2-z(t)+theta(t)*(x(t)-.2500000000+(1/2)*theta(t))) = 0

(4.1)

NULL

``

Equation suivant y

 

``

eq4 := mp*l*(diff(x(t), `$`(t, 2)))-mp*l*(alpha(t)+theta(t))*(diff(z(t), `$`(t, 2)))+(d*l*mp+l^2*mp+Ip)*(diff(theta(t), `$`(t, 2)))+(l^2*mp+Ip)*(diff(alpha(t), `$`(t, 2)))-9.81*mp*l*(alpha(t)+theta(t))-l*d*mp*(diff(theta(t), `$`(t, 1)))^2*alpha(t) = 0;

.4*(diff(diff(x(t), t), t))-.4*(alpha(t)+theta(t))*(diff(diff(z(t), t), t))+.2596250000*(diff(diff(theta(t), t), t))+0.9962500000e-1*(diff(diff(alpha(t), t), t))-3.924*alpha(t)-3.924*theta(t)-.16*(diff(theta(t), t))^2*alpha(t) = 0

(5.1)

``

Résolution :

 

NULL

CI:= x(0)=0,z(0)=0,theta(0)=0,alpha(0)=0,D(x)(0)=0,D(alpha)(0)=0,D(z)(0)=0,D(theta)(0)=0;

x(0) = 0, z(0) = 0, theta(0) = 0, alpha(0) = 0, (D(x))(0) = 0, (D(alpha))(0) = 0, (D(z))(0) = 0, (D(theta))(0) = 0

(6.1)

if theta(t) <> 0 then
 solution:=dsolve([eq1,eq2,eq3,eq4,CI],numeric,maxfun=0):
 odeplot(solution, [[t, x(t)]], t = 0 .. 100, thickness = 2);
 odeplot(solution, [[t, z(t)]], t = 0 .. 100, thickness = 2);
 odeplot(solution, [[t, theta(t)]], t = 0 .. 100, thickness = 2);
 odeplot(solution, [[t, alpha(t)]], t = 0 .. 100, thickness = 2);
 #odeplot(solution,[[t,x(t)],[t,alpha(t)],[t,z(t)],[t,theta(t)]], t=0..100, thickness=2);
 end ;

proc (x_rkf45) local _res, _dat, _vars, _solnproc, _xout, _ndsol, _pars, _n, _i; option `Copyright (c) 2000 by Waterloo Maple Inc. All rights reserved.`; if 1 < nargs then error "invalid input: too many arguments" end if; _EnvDSNumericSaveDigits := Digits; Digits := 15; if _EnvInFsolve = true then _xout := evalf[_EnvDSNumericSaveDigits](x_rkf45) else _xout := evalf(x_rkf45) end if; _dat := Array(1..4, {(1) = proc (_xin) local _xout, _dtbl, _dat, _vmap, _x0, _y0, _val, _dig, _n, _ne, _nd, _nv, _pars, _ini, _par, _i, _j, _k, _src; option `Copyright (c) 2002 by Waterloo Maple Inc. All rights reserved.`; table( [( "complex" ) = false ] ) _xout := _xin; _pars := []; _dtbl := array( 1 .. 4, [( 1 ) = (array( 1 .. 20, [( 1 ) = (datatype = float[8], order = C_order, storage = rectangular), ( 2 ) = (datatype = float[8], order = C_order, storage = rectangular), ( 3 ) = ([0, 0, 0, Array(1..0, 1..2, {}, datatype = float[8], order = C_order)]), ( 5 ) = (Array(1..28, {(1) = .0, (2) = 0.10e-5, (3) = .0, (4) = 0.500001e-14, (5) = .0, (6) = 0.14822202628077855e-4, (7) = .0, (8) = 0.10e-5, (9) = .0, (10) = .0, (11) = .0, (12) = .0, (13) = 1.0, (14) = .0, (15) = .49999999999999, (16) = .0, (17) = 1.0, (18) = 1.0, (19) = .0, (20) = .0, (21) = 1.0, (22) = 1.0, (23) = .0, (24) = .0, (25) = 0.10e-14, (26) = .0, (27) = .0, (28) = .0}, datatype = float[8], order = C_order)), ( 4 ) = (Array(1..53, {(1) = 8, (2) = 8, (3) = 0, (4) = 0, (5) = 0, (6) = 0, (7) = 1, (8) = 0, (9) = 0, (10) = 0, (11) = 0, (12) = 0, (13) = 0, (14) = 0, (15) = 0, (16) = 0, (17) = 0, (18) = 1, (19) = 0, (20) = 0, (21) = 0, (22) = 1, (23) = 4, (24) = 0, (25) = 1, (26) = 15, (27) = 1, (28) = 0, (29) = 1, (30) = 3, (31) = 3, (32) = 0, (33) = 1, (34) = 0, (35) = 0, (36) = 0, (37) = 0, (38) = 0, (39) = 0, (40) = 0, (41) = 0, (42) = 0, (43) = 1, (44) = 0, (45) = 0, (46) = 0, (47) = 0, (48) = 0, (49) = 0, (50) = 50, (51) = 1, (52) = 0, (53) = 0}, datatype = integer[4])), ( 7 ) = ([Array(1..4, 1..7, {(1, 1) = .0, (1, 2) = .203125, (1, 3) = .3046875, (1, 4) = .75, (1, 5) = .8125, (1, 6) = .40625, (1, 7) = .8125, (2, 1) = 0.6378173828125e-1, (2, 2) = .0, (2, 3) = .279296875, (2, 4) = .27237892150878906, (2, 5) = -0.9686851501464844e-1, (2, 6) = 0.1956939697265625e-1, (2, 7) = .5381584167480469, (3, 1) = 0.31890869140625e-1, (3, 2) = .0, (3, 3) = -.34375, (3, 4) = -.335235595703125, (3, 5) = .2296142578125, (3, 6) = .41748046875, (3, 7) = 11.480712890625, (4, 1) = 0.9710520505905151e-1, (4, 2) = .0, (4, 3) = .40350341796875, (4, 4) = 0.20297467708587646e-1, (4, 5) = -0.6054282188415527e-2, (4, 6) = -0.4770040512084961e-1, (4, 7) = .77858567237854}, datatype = float[8], order = C_order), Array(1..6, 1..6, {(1, 1) = .0, (1, 2) = .0, (1, 3) = .0, (1, 4) = .0, (1, 5) = .0, (1, 6) = 1.0, (2, 1) = .25, (2, 2) = .0, (2, 3) = .0, (2, 4) = .0, (2, 5) = .0, (2, 6) = 1.0, (3, 1) = .1875, (3, 2) = .5625, (3, 3) = .0, (3, 4) = .0, (3, 5) = .0, (3, 6) = 2.0, (4, 1) = .23583984375, (4, 2) = -.87890625, (4, 3) = .890625, (4, 4) = .0, (4, 5) = .0, (4, 6) = .2681884765625, (5, 1) = .1272735595703125, (5, 2) = -.5009765625, (5, 3) = .44921875, (5, 4) = -0.128936767578125e-1, (5, 5) = .0, (5, 6) = 0.626220703125e-1, (6, 1) = -0.927734375e-1, (6, 2) = .626220703125, (6, 3) = -.4326171875, (6, 4) = .1418304443359375, (6, 5) = -0.861053466796875e-1, (6, 6) = .3131103515625}, datatype = float[8], order = C_order), Array(1..6, {(1) = .0, (2) = .386, (3) = .21, (4) = .63, (5) = 1.0, (6) = 1.0}, datatype = float[8], order = C_order), Array(1..6, {(1) = .25, (2) = -.1043, (3) = .1035, (4) = -0.362e-1, (5) = .0, (6) = .0}, datatype = float[8], order = C_order), Array(1..6, 1..5, {(1, 1) = .0, (1, 2) = .0, (1, 3) = .0, (1, 4) = .0, (1, 5) = .0, (2, 1) = 1.544, (2, 2) = .0, (2, 3) = .0, (2, 4) = .0, (2, 5) = .0, (3, 1) = .9466785280815533, (3, 2) = .25570116989825814, (3, 3) = .0, (3, 4) = .0, (3, 5) = .0, (4, 1) = 3.3148251870684886, (4, 2) = 2.896124015972123, (4, 3) = .9986419139977808, (4, 4) = .0, (4, 5) = .0, (5, 1) = 1.2212245092262748, (5, 2) = 6.019134481287752, (5, 3) = 12.537083329320874, (5, 4) = -.687886036105895, (5, 5) = .0, (6, 1) = 1.2212245092262748, (6, 2) = 6.019134481287752, (6, 3) = 12.537083329320874, (6, 4) = -.687886036105895, (6, 5) = 1.0}, datatype = float[8], order = C_order), Array(1..6, 1..5, {(1, 1) = .0, (1, 2) = .0, (1, 3) = .0, (1, 4) = .0, (1, 5) = .0, (2, 1) = -5.6688, (2, 2) = .0, (2, 3) = .0, (2, 4) = .0, (2, 5) = .0, (3, 1) = -2.4300933568337584, (3, 2) = -.20635991570891224, (3, 3) = .0, (3, 4) = .0, (3, 5) = .0, (4, 1) = -.10735290581452621, (4, 2) = -9.594562251021896, (4, 3) = -20.470286148096154, (4, 4) = .0, (4, 5) = .0, (5, 1) = 7.496443313968615, (5, 2) = -10.246804314641219, (5, 3) = -33.99990352819906, (5, 4) = 11.708908932061595, (5, 5) = .0, (6, 1) = 8.083246795922411, (6, 2) = -7.981132988062785, (6, 3) = -31.52159432874373, (6, 4) = 16.319305431231363, (6, 5) = -6.0588182388340535}, datatype = float[8], order = C_order), Array(1..3, 1..5, {(1, 1) = .0, (1, 2) = .0, (1, 3) = .0, (1, 4) = .0, (1, 5) = .0, (2, 1) = 10.126235083446911, (2, 2) = -7.487995877607633, (2, 3) = -34.800918615557414, (2, 4) = -7.9927717075687275, (2, 5) = 1.0251377232956207, (3, 1) = -.6762803392806898, (3, 2) = 6.087714651678606, (3, 3) = 16.43084320892463, (3, 4) = 24.767225114183653, (3, 5) = -6.5943891257167815}, datatype = float[8], order = C_order)]), ( 6 ) = (Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order)), ( 10 ) = ([proc (N, X, Y, YP) option `[Y[1] = alpha(t), Y[2] = diff(alpha(t),t), Y[3] = theta(t), Y[4] = diff(theta(t),t), Y[5] = x(t), Y[6] = diff(x(t),t), Y[7] = z(t), Y[8] = diff(z(t),t)]`; YP[2] := -(-14.947516474811375000+9.3616250000*cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-9.3616250000*cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-12681.242976943909200*Y[3]-171.4392330064092*Y[1]-11479.6926562500000*Y[3]^3+9.3616250000*Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-9.3616250000*Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-56.5942610739837*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3]))-1.2*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-4.9040416669*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))+1.3373750000*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])-.285413333408*Y[4]^2*Y[3]-.142706666704*(Y[4]+Y[2])^2*(Y[1]+Y[3])+.4*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])^2-1485.04414422534*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))+1485.04414422534*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))-5.492526666928*Y[4]^2*Y[1]-7*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-1.2*Y[3])^2+18.7232500000*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)-91837.5412500000000*Y[3]*Y[7]^2-45918.7706250000000*Y[3]*Y[7]+9.3616250000*(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])-45918.7706250000000*Y[3]^2*Y[7])/(2.3445975001253875000-.53737500000*(-.4*Y[1]-1.2*Y[3])^2+.8573750000*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-1.497860000000*cos(Y[1])-4.9040416669*(-.4*Y[1]-.4*Y[3])^2+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))); YP[4] := (-6.0061102276113750000+3.76162500000*cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-3.76162500000*cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-5028.1809204375000000*Y[3]-1.57597650000000*Y[1]-4612.69265625000000*Y[3]^3+3.76162500000*Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-3.76162500000*Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-7*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))-7*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])+132.750371019452*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3]))+.4*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])+.48*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))+7*(-.4*Y[1]-.4*Y[3])^2*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-2.8*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))+49*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(0.9962500000e-1+.16*cos(Y[1]))-1.2*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])^2+.53737500000*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])+.6694800000000*Y[4]^2*Y[3]+.3347400000000*(Y[4]+Y[2])^2*(Y[1]+Y[3])-596.710419293836*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))+596.710419293836*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+.5376*Y[4]^2*Y[1]+7.52325000000*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)-36901.54125000000000*Y[3]*Y[7]^2-18450.77062500000000*Y[3]*Y[7]+3.76162500000*(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])-18450.77062500000000*Y[3]^2*Y[7])/(2.3445975001253875000-.53737500000*(-.4*Y[1]-1.2*Y[3])^2+.8573750000*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-1.497860000000*cos(Y[1])-4.9040416669*(-.4*Y[1]-.4*Y[3])^2+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))); YP[6] := -(-.1754750976013000000+.109900000000*cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-.109900000000*cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-137.33141624963376000*Y[3]+9.526360200366240*Y[1]-134.764875000000000*Y[3]^3+.109900000000*Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-.109900000000*Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-.4*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-1.2*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))-1.2*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])+100.258795838552*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3]))+.2596250000*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])+(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))+.36251666668*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))+1.2*(-.4*Y[1]-.4*Y[3])^2*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-1.8173750000*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))+8.4*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(0.9962500000e-1+.16*cos(Y[1]))-.9062916667*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])^2+0.15700000000e-1*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])+.50562012085193000000*Y[4]^2*Y[3]+.25281006042596500000*(Y[4]+Y[2])^2*(Y[1]+Y[3])-0.9962500000e-1*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])^2-17.4335493517808*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))+17.4335493517808*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+.4060186666816*Y[4]^2*Y[1]+.4*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-1.2*Y[3])^2+.219800000000*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)-1078.119000000000000*Y[3]*Y[7]^2-539.059500000000000*Y[3]*Y[7]+.109900000000*(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])-539.059500000000000*Y[3]^2*Y[7])/(2.3445975001253875000-.53737500000*(-.4*Y[1]-1.2*Y[3])^2+.8573750000*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-1.497860000000*cos(Y[1])-4.9040416669*(-.4*Y[1]-.4*Y[3])^2+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))); YP[8] := -(-.53737500000*(-.4*Y[1]-1.2*Y[3])*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-.48*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-1.2*Y[3])+1.3373750000*(-.4*Y[1]-.4*Y[3])*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-4.9040416669*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-.4*Y[3])+.119550000000*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])+7*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))-.4*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))+74.2676316024185*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3]))+1116.0579164503566049-1.3373750000*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))+0.5096666668e-1*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])+2296.4154659472358125*Y[7]+.37454278751433000000*Y[4]^2+.18727139375716500000*(Y[4]+Y[2])^2)/(2.3445975001253875000-.53737500000*(-.4*Y[1]-1.2*Y[3])^2+.8573750000*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-1.497860000000*cos(Y[1])-4.9040416669*(-.4*Y[1]-.4*Y[3])^2+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))); YP[1] := Y[2]; YP[3] := Y[4]; YP[5] := Y[6]; YP[7] := Y[8]; 0 end proc, -1, 0, 0, 0, 0, 0, 0]), ( 11 ) = (Array(1..6, 0..8, {(1, 1) = .0, (1, 2) = .0, (1, 3) = .0, (1, 4) = .0, (1, 5) = .0, (1, 6) = .0, (1, 7) = .0, (1, 8) = .0, (2, 0) = .0, (2, 1) = .0, (2, 2) = .0, (2, 3) = .0, (2, 4) = .0, (2, 5) = .0, (2, 6) = .0, (2, 7) = .0, (2, 8) = .0, (3, 0) = .0, (3, 1) = .0, (3, 2) = .0, (3, 3) = .0, (3, 4) = .0, (3, 5) = .0, (3, 6) = .0, (3, 7) = .0, (3, 8) = .0, (4, 0) = .0, (4, 1) = .0, (4, 2) = .0, (4, 3) = .0, (4, 4) = .0, (4, 5) = .0, (4, 6) = .0, (4, 7) = .0, (4, 8) = .0, (5, 0) = .0, (5, 1) = .0, (5, 2) = .0, (5, 3) = .0, (5, 4) = .0, (5, 5) = .0, (5, 6) = .0, (5, 7) = .0, (5, 8) = .0, (6, 0) = .0, (6, 1) = .0, (6, 2) = .0, (6, 3) = .0, (6, 4) = .0, (6, 5) = .0, (6, 6) = .0, (6, 7) = .0, (6, 8) = .0}, datatype = float[8], order = C_order)), ( 8 ) = ([Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order), Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order), Array(1..8, {(1) = .0, (2) = 17.65307013401197, (3) = .0, (4) = -7.093237546136753, (5) = .0, (6) = .20723671453704962, (7) = .0, (8) = -340.5471428571427}, datatype = float[8], order = C_order)]), ( 9 ) = ([Array(1..8, {(1) = .1, (2) = .1, (3) = .1, (4) = .1, (5) = .1, (6) = .1, (7) = .1, (8) = .1}, datatype = float[8], order = C_order), Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order), Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order), Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order), Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order), Array(1..8, 1..8, {(1, 1) = .0, (1, 2) = .0, (1, 3) = .0, (1, 4) = .0, (1, 5) = .0, (1, 6) = .0, (1, 7) = .0, (1, 8) = .0, (2, 1) = .0, (2, 2) = .0, (2, 3) = .0, (2, 4) = .0, (2, 5) = .0, (2, 6) = .0, (2, 7) = .0, (2, 8) = .0, (3, 1) = .0, (3, 2) = .0, (3, 3) = .0, (3, 4) = .0, (3, 5) = .0, (3, 6) = .0, (3, 7) = .0, (3, 8) = .0, (4, 1) = .0, (4, 2) = .0, (4, 3) = .0, (4, 4) = .0, (4, 5) = .0, (4, 6) = .0, (4, 7) = .0, (4, 8) = .0, (5, 1) = .0, (5, 2) = .0, (5, 3) = .0, (5, 4) = .0, (5, 5) = .0, (5, 6) = .0, (5, 7) = .0, (5, 8) = .0, (6, 1) = .0, (6, 2) = .0, (6, 3) = .0, (6, 4) = .0, (6, 5) = .0, (6, 6) = .0, (6, 7) = .0, (6, 8) = .0, (7, 1) = .0, (7, 2) = .0, (7, 3) = .0, (7, 4) = .0, (7, 5) = .0, (7, 6) = .0, (7, 7) = .0, (7, 8) = .0, (8, 1) = .0, (8, 2) = .0, (8, 3) = .0, (8, 4) = .0, (8, 5) = .0, (8, 6) = .0, (8, 7) = .0, (8, 8) = .0}, datatype = float[8], order = C_order), Array(1..8, 1..8, {(1, 1) = .0, (1, 2) = .0, (1, 3) = .0, (1, 4) = .0, (1, 5) = .0, (1, 6) = .0, (1, 7) = .0, (1, 8) = .0, (2, 1) = .0, (2, 2) = .0, (2, 3) = .0, (2, 4) = .0, (2, 5) = .0, (2, 6) = .0, (2, 7) = .0, (2, 8) = .0, (3, 1) = .0, (3, 2) = .0, (3, 3) = .0, (3, 4) = .0, (3, 5) = .0, (3, 6) = .0, (3, 7) = .0, (3, 8) = .0, (4, 1) = .0, (4, 2) = .0, (4, 3) = .0, (4, 4) = .0, (4, 5) = .0, (4, 6) = .0, (4, 7) = .0, (4, 8) = .0, (5, 1) = .0, (5, 2) = .0, (5, 3) = .0, (5, 4) = .0, (5, 5) = .0, (5, 6) = .0, (5, 7) = .0, (5, 8) = .0, (6, 1) = .0, (6, 2) = .0, (6, 3) = .0, (6, 4) = .0, (6, 5) = .0, (6, 6) = .0, (6, 7) = .0, (6, 8) = .0, (7, 1) = .0, (7, 2) = .0, (7, 3) = .0, (7, 4) = .0, (7, 5) = .0, (7, 6) = .0, (7, 7) = .0, (7, 8) = .0, (8, 1) = .0, (8, 2) = .0, (8, 3) = .0, (8, 4) = .0, (8, 5) = .0, (8, 6) = .0, (8, 7) = .0, (8, 8) = .0}, datatype = float[8], order = C_order), Array(1..8, 1..6, {(1, 1) = .0, (1, 2) = .0, (1, 3) = .0, (1, 4) = .0, (1, 5) = .0, (1, 6) = .0, (2, 1) = .0, (2, 2) = .0, (2, 3) = .0, (2, 4) = .0, (2, 5) = .0, (2, 6) = .0, (3, 1) = .0, (3, 2) = .0, (3, 3) = .0, (3, 4) = .0, (3, 5) = .0, (3, 6) = .0, (4, 1) = .0, (4, 2) = .0, (4, 3) = .0, (4, 4) = .0, (4, 5) = .0, (4, 6) = .0, (5, 1) = .0, (5, 2) = .0, (5, 3) = .0, (5, 4) = .0, (5, 5) = .0, (5, 6) = .0, (6, 1) = .0, (6, 2) = .0, (6, 3) = .0, (6, 4) = .0, (6, 5) = .0, (6, 6) = .0, (7, 1) = .0, (7, 2) = .0, (7, 3) = .0, (7, 4) = .0, (7, 5) = .0, (7, 6) = .0, (8, 1) = .0, (8, 2) = .0, (8, 3) = .0, (8, 4) = .0, (8, 5) = .0, (8, 6) = .0}, datatype = float[8], order = C_order), Array(1..8, {(1) = 0, (2) = 0, (3) = 0, (4) = 0, (5) = 0, (6) = 0, (7) = 0, (8) = 0}, datatype = integer[4]), Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order), Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order), Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order), Array(1..8, {(1) = .0, (2) = .0, (3) = .0, (4) = .0, (5) = .0, (6) = .0, (7) = .0, (8) = .0}, datatype = float[8], order = C_order)]), ( 15 ) = ("rkf45"), ( 14 ) = ([0, 0]), ( 13 ) = (), ( 12 ) = (), ( 20 ) = ([]), ( 16 ) = ([0, 0, 0, []]), ( 17 ) = ([proc (N, X, Y, YP) option `[Y[1] = alpha(t), Y[2] = diff(alpha(t),t), Y[3] = theta(t), Y[4] = diff(theta(t),t), Y[5] = x(t), Y[6] = diff(x(t),t), Y[7] = z(t), Y[8] = diff(z(t),t)]`; YP[2] := -(-14.947516474811375000+9.3616250000*cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-9.3616250000*cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-12681.242976943909200*Y[3]-171.4392330064092*Y[1]-11479.6926562500000*Y[3]^3+9.3616250000*Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-9.3616250000*Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-56.5942610739837*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3]))-1.2*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-4.9040416669*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))+1.3373750000*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])-.285413333408*Y[4]^2*Y[3]-.142706666704*(Y[4]+Y[2])^2*(Y[1]+Y[3])+.4*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])^2-1485.04414422534*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))+1485.04414422534*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))-5.492526666928*Y[4]^2*Y[1]-7*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-1.2*Y[3])^2+18.7232500000*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)-91837.5412500000000*Y[3]*Y[7]^2-45918.7706250000000*Y[3]*Y[7]+9.3616250000*(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])-45918.7706250000000*Y[3]^2*Y[7])/(2.3445975001253875000-.53737500000*(-.4*Y[1]-1.2*Y[3])^2+.8573750000*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-1.497860000000*cos(Y[1])-4.9040416669*(-.4*Y[1]-.4*Y[3])^2+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))); YP[4] := (-6.0061102276113750000+3.76162500000*cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-3.76162500000*cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-5028.1809204375000000*Y[3]-1.57597650000000*Y[1]-4612.69265625000000*Y[3]^3+3.76162500000*Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-3.76162500000*Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-7*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))-7*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])+132.750371019452*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3]))+.4*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])+.48*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))+7*(-.4*Y[1]-.4*Y[3])^2*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-2.8*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))+49*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(0.9962500000e-1+.16*cos(Y[1]))-1.2*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])^2+.53737500000*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])+.6694800000000*Y[4]^2*Y[3]+.3347400000000*(Y[4]+Y[2])^2*(Y[1]+Y[3])-596.710419293836*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))+596.710419293836*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+.5376*Y[4]^2*Y[1]+7.52325000000*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)-36901.54125000000000*Y[3]*Y[7]^2-18450.77062500000000*Y[3]*Y[7]+3.76162500000*(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])-18450.77062500000000*Y[3]^2*Y[7])/(2.3445975001253875000-.53737500000*(-.4*Y[1]-1.2*Y[3])^2+.8573750000*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-1.497860000000*cos(Y[1])-4.9040416669*(-.4*Y[1]-.4*Y[3])^2+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))); YP[6] := -(-.1754750976013000000+.109900000000*cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-.109900000000*cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-137.33141624963376000*Y[3]+9.526360200366240*Y[1]-134.764875000000000*Y[3]^3+.109900000000*Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))-.109900000000*Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-.4*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-1.2*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))-1.2*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])+100.258795838552*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3]))+.2596250000*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])+(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))+.36251666668*(-.4*Y[1]-.4*Y[3])*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))+1.2*(-.4*Y[1]-.4*Y[3])^2*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-1.8173750000*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))+8.4*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(0.9962500000e-1+.16*cos(Y[1]))-.9062916667*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])^2+0.15700000000e-1*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])+.50562012085193000000*Y[4]^2*Y[3]+.25281006042596500000*(Y[4]+Y[2])^2*(Y[1]+Y[3])-0.9962500000e-1*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])^2-17.4335493517808*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))+17.4335493517808*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+.4060186666816*Y[4]^2*Y[1]+.4*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-1.2*Y[3])^2+.219800000000*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)-1078.119000000000000*Y[3]*Y[7]^2-539.059500000000000*Y[3]*Y[7]+.109900000000*(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])-539.059500000000000*Y[3]^2*Y[7])/(2.3445975001253875000-.53737500000*(-.4*Y[1]-1.2*Y[3])^2+.8573750000*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-1.497860000000*cos(Y[1])-4.9040416669*(-.4*Y[1]-.4*Y[3])^2+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))); YP[8] := -(-.53737500000*(-.4*Y[1]-1.2*Y[3])*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-.48*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-1.2*Y[3])+1.3373750000*(-.4*Y[1]-.4*Y[3])*(-2*Y[1]*(0.8e-1*Y[4]^2-0.8e-1*(Y[4]+Y[2])^2)+3.924*Y[1]+1340.209500*Y[3]+9810.000*Y[3]*Y[7]^2+4905.000*Y[3]*Y[7]+1.596679687-158.631022309198*sin(.43*X-Y[5])*(-(Y[7]-.2500000000*Y[3]+1/2)*sinh(-11/2-Y[7]+.2500000000*Y[3])-cosh(-11/2-Y[7]+.2500000000*Y[3]))+158.631022309198*sin(.43*X-Y[5])*((Y[7]+.2500000000*Y[3]+1/2)*sinh(11/2+Y[7]+.2500000000*Y[3])-cosh(11/2+Y[7]+.2500000000*Y[3]))-(4905.00*Y[7]+2452.50)*(1.0*Y[5]+.5*Y[3])+4905.000*Y[3]^2*Y[7]+1226.250*Y[3]^3-Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3]))+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3])*sinh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))-cosh(-11/2-Y[7]+Y[3]*(Y[5]+.2500000000+(1/2)*Y[3]))+cosh(-11/2-Y[7]+Y[3]*(Y[5]-.2500000000+(1/2)*Y[3])))-4.9040416669*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-.4*Y[3])+.119550000000*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])+7*(-3.924*Y[1]-3.924*Y[3]-.16*Y[4]^2*Y[1])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))-.4*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))+74.2676316024185*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3]))+1116.0579164503566049-1.3373750000*(.8*Y[4]^2+.4*(Y[4]+Y[2])^2+2383.830+4905.000*Y[7]+158.631022309198*sin(.43*X-Y[5])*(1-Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sin(11/2+Y[7]+.2500000000*Y[3])))*(0.9962500000e-1+.16*cos(Y[1]))+0.5096666668e-1*(.8*Y[4]^2*Y[3]+.4*(Y[4]+Y[2])^2*(Y[1]+Y[3])+158.631022309198*sin(.43*X-Y[5])*(1+Y[3])*(-sinh(-11/2-Y[7]+.2500000000*Y[3])-sinh(11/2+Y[7]+.2500000000*Y[3])))*(-.4*Y[1]-.4*Y[3])+2296.4154659472358125*Y[7]+.37454278751433000000*Y[4]^2+.18727139375716500000*(Y[4]+Y[2])^2)/(2.3445975001253875000-.53737500000*(-.4*Y[1]-1.2*Y[3])^2+.8573750000*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])-1.497860000000*cos(Y[1])-4.9040416669*(-.4*Y[1]-.4*Y[3])^2+7*(-.4*Y[1]-.4*Y[3])*(-.4*Y[1]-1.2*Y[3])*(0.9962500000e-1+.16*cos(Y[1]))); YP[1] := Y[2]; YP[3] := Y[4]; YP[5] := Y[6]; YP[7] := Y[8]; 0 end proc, -1, 0, 0, 0, 0, 0, 0]), ( 18 ) = ([]), ( 19 ) = (0)  ] ))  ] ); _y0 := Array(0..8, {(1) = 0., (2) = 0., (3) = 0., (4) = 0., (5) = 0., (6) = 0., (7) = 0., (8) = 0.}); _vmap := array( 1 .. 8, [( 1 ) = (1), ( 2 ) = (2), ( 3 ) = (3), ( 5 ) = (5), ( 4 ) = (4), ( 7 ) = (7), ( 6 ) = (6), ( 8 ) = (8)  ] ); _x0 := _dtbl[1][5][5]; _n := _dtbl[1][4][1]; _ne := _dtbl[1][4][3]; _nd := _dtbl[1][4][4]; _nv := _dtbl[1][4][16]; if not type(_xout, 'numeric') then if member(_xout, ["start", "left", "right"]) then if _Env_smart_dsolve_numeric = true or _dtbl[1][4][10] = 1 then if _xout = "left" then if type(_dtbl[2], 'table') then return _dtbl[2][5][1] end if elif _xout = "right" then if type(_dtbl[3], 'table') then return _dtbl[3][5][1] end if end if end if; return _dtbl[1][5][5] elif _xout = "method" then return _dtbl[1][15] elif _xout = "storage" then return evalb(_dtbl[1][4][10] = 1) elif _xout = "leftdata" then if not type(_dtbl[2], 'array') then return NULL else return eval(_dtbl[2]) end if elif _xout = "rightdata" then if not type(_dtbl[3], 'array') then return NULL else return eval(_dtbl[3]) end if elif _xout = "enginedata" then return eval(_dtbl[1]) elif _xout = "enginereset" then _dtbl[2] := evaln(_dtbl[2]); _dtbl[3] := evaln(_dtbl[3]); return NULL elif _xout = "initial" then return procname(_y0[0]) elif _xout = "laxtol" then return _dtbl[`if`(member(_dtbl[4], {2, 3}), _dtbl[4], 1)][5][18] elif _xout = "numfun" then return `if`(member(_dtbl[4], {2, 3}), _dtbl[_dtbl[4]][4][18], 0) elif _xout = "parameters" then return [seq(_y0[_n+_i], _i = 1 .. nops(_pars))] elif _xout = "initial_and_parameters" then return procname(_y0[0]), [seq(_y0[_n+_i], _i = 1 .. nops(_pars))] elif _xout = "last" then if _dtbl[4] <> 2 and _dtbl[4] <> 3 or _x0-_dtbl[_dtbl[4]][5][1] = 0. then error "no information is available on last computed point" else _xout := _dtbl[_dtbl[4]][5][1] end if elif _xout = "function" then if _dtbl[1][4][33]-2. = 0 then return eval(_dtbl[1][10], 1) else return eval(_dtbl[1][10][1], 1) end if elif _xout = "map" then return copy(_vmap) elif type(_xin, `=`) and type(rhs(_xin), 'list') and member(lhs(_xin), {"initial", "parameters", "initial_and_parameters"}) then _ini, _par := [], []; if lhs(_xin) = "initial" then _ini := rhs(_xin) elif lhs(_xin) = "parameters" then _par := rhs(_xin) elif select(type, rhs(_xin), `=`) <> [] then _par, _ini := selectremove(type, rhs(_xin), `=`) elif nops(rhs(_xin)) < nops(_pars)+1 then error "insufficient data for specification of initial and parameters" else _par := rhs(_xin)[-nops(_pars) .. -1]; _ini := rhs(_xin)[1 .. -nops(_pars)-1] end if; _xout := lhs(_xout); if _par <> [] then `dsolve/numeric/process_parameters`(_n, _pars, _par, _y0) end if; if _ini <> [] then `dsolve/numeric/process_initial`(_n-_ne, _ini, _y0, _pars, _vmap) end if; `dsolve/numeric/SC/reinitialize`(_dtbl, _y0, _n, procname, _pars); if _Env_smart_dsolve_numeric = true and type(_y0[0], 'numeric') and _dtbl[1][4][10] <> 1 then procname("right") := _y0[0]; procname("left") := _y0[0] end if; if _xout = "initial" then return [_y0[0], seq(_y0[_vmap[_i]], _i = 1 .. _n-_ne)] elif _xout = "parameters" then return [seq(_y0[_n+_i], _i = 1 .. nops(_pars))] else return [_y0[0], seq(_y0[_vmap[_i]], _i = 1 .. _n-_ne)], [seq(_y0[_n+_i], _i = 1 .. nops(_pars))] end if elif _xin = "eventstop" then if _nv = 0 then error "this solution has no events" end if; _i := _dtbl[4]; if _i <> 2 and _i <> 3 then return 0 end if; if _dtbl[_i][4][10] = 1 and assigned(_dtbl[5-_i]) and _dtbl[_i][4][9] < 10 and 10 <= _dtbl[5-_i][4][9] then _i := 5-_i; _dtbl[4] := _i; _j := round(_dtbl[_i][4][17]); return round(_dtbl[_i][3][1][_j, 1]) elif 10 <= _dtbl[_i][4][9] then _j := round(_dtbl[_i][4][17]); return round(_dtbl[_i][3][1][_j, 1]) else return 0 end if elif _xin = "eventstatus" then if _nv = 0 then error "this solution has no events" end if; _i := [selectremove(proc (a) options operator, arrow; _dtbl[1][3][1][a, 7] = 1 end proc, {seq(_j, _j = 1 .. round(_dtbl[1][3][1][_nv+1, 1]))})]; return ':-enabled' = _i[1], ':-disabled' = _i[2] elif _xin = "eventclear" then if _nv = 0 then error "this solution has no events" end if; _i := _dtbl[4]; if _i <> 2 and _i <> 3 then error "no events to clear" end if; if _dtbl[_i][4][10] = 1 and assigned(_dtbl[5-_i]) and _dtbl[_i][4][9] < 10 and 10 < _dtbl[5-_i][4][9] then _dtbl[4] := 5-_i; _i := 5-_i end if; if _dtbl[_i][4][9] < 10 then error "no events to clear" elif _nv < _dtbl[_i][4][9]-10 then error "event error condition cannot be cleared" else _j := _dtbl[_i][4][9]-10; if irem(round(_dtbl[_i][3][1][_j, 4]), 2) = 1 then error "retriggerable events cannot be cleared" end if; _j := round(_dtbl[_i][3][1][_j, 1]); for _k to _nv do if _dtbl[_i][3][1][_k, 1] = _j then if _dtbl[_i][3][1][_k, 2] = 3 then error "range events cannot be cleared" end if; _dtbl[_i][3][1][_k, 8] := _dtbl[_i][3][1][_nv+1, 8] end if end do; _dtbl[_i][4][17] := 0; _dtbl[_i][4][9] := 0; if _dtbl[1][4][10] = 1 then if _i = 2 then try procname(procname("left")) catch:  end try else try procname(procname("right")) catch:  end try end if end if end if; return  elif type(_xin, `=`) and member(lhs(_xin), {"eventdisable", "eventenable"}) then if _nv = 0 then error "this solution has no events" end if; if type(rhs(_xin), {('list')('posint'), ('set')('posint')}) then _i := {op(rhs(_xin))} elif type(rhs(_xin), 'posint') then _i := {rhs(_xin)} else error "event identifiers must be integers in the range 1..%1", round(_dtbl[1][3][1][_nv+1, 1]) end if; if select(proc (a) options operator, arrow; _nv < a end proc, _i) <> {} then error "event identifiers must be integers in the range 1..%1", round(_dtbl[1][3][1][_nv+1, 1]) end if; _k := {}; for _j to _nv do if member(round(_dtbl[1][3][1][_j, 1]), _i) then _k := `union`(_k, {_j}) end if end do; _i := _k; if lhs(_xin) = "eventdisable" then _dtbl[4] := 0; _j := [evalb(assigned(_dtbl[2]) and member(_dtbl[2][4][17], _i)), evalb(assigned(_dtbl[3]) and member(_dtbl[3][4][17], _i))]; for _k in _i do _dtbl[1][3][1][_k, 7] := 0; if assigned(_dtbl[2]) then _dtbl[2][3][1][_k, 7] := 0 end if; if assigned(_dtbl[3]) then _dtbl[3][3][1][_k, 7] := 0 end if end do; if _j[1] then for _k to _nv+1 do if _k <= _nv and not type(_dtbl[2][3][4][_k, 1], 'undefined') then userinfo(3, {'events', 'eventreset'}, `reinit #2, event code `, _k, ` to defined init `, _dtbl[2][3][4][_k, 1]); _dtbl[2][3][1][_k, 8] := _dtbl[2][3][4][_k, 1] elif _dtbl[2][3][1][_k, 2] = 0 and irem(iquo(round(_dtbl[2][3][1][_k, 4]), 32), 2) = 1 then userinfo(3, {'events', 'eventreset'}, `reinit #2, event code `, _k, ` to rate hysteresis init `, _dtbl[2][5][24]); _dtbl[2][3][1][_k, 8] := _dtbl[2][5][24] elif _dtbl[2][3][1][_k, 2] = 0 and irem(iquo(round(_dtbl[2][3][1][_k, 4]), 2), 2) = 0 then userinfo(3, {'events', 'eventreset'}, `reinit #2, event code `, _k, ` to initial init `, _x0); _dtbl[2][3][1][_k, 8] := _x0 else userinfo(3, {'events', 'eventreset'}, `reinit #2, event code `, _k, ` to fireinitial init `, _x0-1); _dtbl[2][3][1][_k, 8] := _x0-1 end if end do; _dtbl[2][4][17] := 0; _dtbl[2][4][9] := 0; if _dtbl[1][4][10] = 1 then procname(procname("left")) end if end if; if _j[2] then for _k to _nv+1 do if _k <= _nv and not type(_dtbl[3][3][4][_k, 2], 'undefined') then userinfo(3, {'events', 'eventreset'}, `reinit #3, event code `, _k, ` to defined init `, _dtbl[3][3][4][_k, 2]); _dtbl[3][3][1][_k, 8] := _dtbl[3][3][4][_k, 2] elif _dtbl[3][3][1][_k, 2] = 0 and irem(iquo(round(_dtbl[3][3][1][_k, 4]), 32), 2) = 1 then userinfo(3, {'events', 'eventreset'}, `reinit #3, event code `, _k, ` to rate hysteresis init `, _dtbl[3][5][24]); _dtbl[3][3][1][_k, 8] := _dtbl[3][5][24] elif _dtbl[3][3][1][_k, 2] = 0 and irem(iquo(round(_dtbl[3][3][1][_k, 4]), 2), 2) = 0 then userinfo(3, {'events', 'eventreset'}, `reinit #3, event code `, _k, ` to initial init `, _x0); _dtbl[3][3][1][_k, 8] := _x0 else userinfo(3, {'events', 'eventreset'}, `reinit #3, event code `, _k, ` to fireinitial init `, _x0+1); _dtbl[3][3][1][_k, 8] := _x0+1 end if end do; _dtbl[3][4][17] := 0; _dtbl[3][4][9] := 0; if _dtbl[1][4][10] = 1 then procname(procname("right")) end if end if else for _k in _i do _dtbl[1][3][1][_k, 7] := 1 end do; _dtbl[2] := evaln(_dtbl[2]); _dtbl[3] := evaln(_dtbl[3]); _dtbl[4] := 0; if _dtbl[1][4][10] = 1 then if _x0 <= procname("right") then try procname(procname("right")) catch:  end try end if; if procname("left") <= _x0 then try procname(procname("left")) catch:  end try end if end if end if; return  elif type(_xin, `=`) and lhs(_xin) = "eventfired" then if not type(rhs(_xin), 'list') then error "'eventfired' must be specified as a list" end if; if _nv = 0 then error "this solution has no events" end if; if _dtbl[4] <> 2 and _dtbl[4] <> 3 then error "'direction' must be set prior to calling/setting 'eventfired'" end if; _i := _dtbl[4]; _val := NULL; if not assigned(_EnvEventRetriggerWarned) then _EnvEventRetriggerWarned := false end if; for _k in rhs(_xin) do if type(_k, 'integer') then _src := _k elif type(_k, 'integer' = 'anything') and type(evalf(rhs(_k)), 'numeric') then _k := lhs(_k) = evalf[max(Digits, 18)](rhs(_k)); _src := lhs(_k) else error "'eventfired' entry is not valid: %1", _k end if; if _src < 1 or round(_dtbl[1][3][1][_nv+1, 1]) < _src then error "event identifiers must be integers in the range 1..%1", round(_dtbl[1][3][1][_nv+1, 1]) end if; _src := {seq(`if`(_dtbl[1][3][1][_j, 1]-_src = 0., _j, NULL), _j = 1 .. _nv)}; if nops(_src) <> 1 then error "'eventfired' can only be set/queried for root-finding events and time/interval events" end if; _src := _src[1]; if _dtbl[1][3][1][_src, 2] <> 0. and _dtbl[1][3][1][_src, 2]-2. <> 0. then error "'eventfired' can only be set/queried for root-finding events and time/interval events" elif irem(round(_dtbl[1][3][1][_src, 4]), 2) = 1 then if _EnvEventRetriggerWarned = false then WARNING(`'eventfired' has no effect on events that retrigger`) end if; _EnvEventRetriggerWarned := true end if; if _dtbl[_i][3][1][_src, 2] = 0 and irem(iquo(round(_dtbl[_i][3][1][_src, 4]), 32), 2) = 1 then _val := _val, undefined elif type(_dtbl[_i][3][4][_src, _i-1], 'undefined') or _i = 2 and _dtbl[2][3][1][_src, 8] < _dtbl[2][3][4][_src, 1] or _i = 3 and _dtbl[3][3][4][_src, 2] < _dtbl[3][3][1][_src, 8] then _val := _val, _dtbl[_i][3][1][_src, 8] else _val := _val, _dtbl[_i][3][4][_src, _i-1] end if; if type(_k, `=`) then if _dtbl[_i][3][1][_src, 2] = 0 and irem(iquo(round(_dtbl[_i][3][1][_src, 4]), 32), 2) = 1 then error "cannot set event code for a rate hysteresis event" end if; userinfo(3, {'events', 'eventreset'}, `manual set event code `, _src, ` to value `, rhs(_k)); _dtbl[_i][3][1][_src, 8] := rhs(_k); _dtbl[_i][3][4][_src, _i-1] := rhs(_k) end if end do; return [_val] elif type(_xin, `=`) and lhs(_xin) = "direction" then if not member(rhs(_xin), {-1, 1, ':-left', ':-right'}) then error "'direction' must be specified as either '1' or 'right' (positive) or '-1' or 'left' (negative)" end if; _src := `if`(_dtbl[4] = 2, -1, `if`(_dtbl[4] = 3, 1, undefined)); _i := `if`(member(rhs(_xin), {1, ':-right'}), 3, 2); _dtbl[4] := _i; _dtbl[_i] := `dsolve/numeric/SC/IVPdcopy`(_dtbl[1], `if`(assigned(_dtbl[_i]), _dtbl[_i], NULL)); if 0 < _nv then for _j to _nv+1 do if _j <= _nv and not type(_dtbl[_i][3][4][_j, _i-1], 'undefined') then userinfo(3, {'events', 'eventreset'}, `reinit #4, event code `, _j, ` to defined init `, _dtbl[_i][3][4][_j, _i-1]); _dtbl[_i][3][1][_j, 8] := _dtbl[_i][3][4][_j, _i-1] elif _dtbl[_i][3][1][_j, 2] = 0 and irem(iquo(round(_dtbl[_i][3][1][_j, 4]), 32), 2) = 1 then userinfo(3, {'events', 'eventreset'}, `reinit #4, event code `, _j, ` to rate hysteresis init `, _dtbl[_i][5][24]); _dtbl[_i][3][1][_j, 8] := _dtbl[_i][5][24] elif _dtbl[_i][3][1][_j, 2] = 0 and irem(iquo(round(_dtbl[_i][3][1][_j, 4]), 2), 2) = 0 then userinfo(3, {'events', 'eventreset'}, `reinit #4, event code `, _j, ` to initial init `, _x0); _dtbl[_i][3][1][_j, 8] := _x0 else userinfo(3, {'events', 'eventreset'}, `reinit #4, event code `, _j, ` to fireinitial init `, _x0-2*_i+5.0); _dtbl[_i][3][1][_j, 8] := _x0-2*_i+5.0 end if end do end if; return _src elif _xin = "eventcount" then if _dtbl[1][3][1] = 0 or _dtbl[4] <> 2 and _dtbl[4] <> 3 then return 0 else return round(_dtbl[_dtbl[4]][3][1][_nv+1, 12]) end if else return "procname" end if end if; if _xout = _x0 then return [_x0, seq(evalf(_dtbl[1][6][_vmap[_i]]), _i = 1 .. _n-_ne)] end if; _i := `if`(_x0 <= _xout, 3, 2); if _xin = "last" and 0 < _dtbl[_i][4][9] and _dtbl[_i][4][9] < 10 then _dat := eval(_dtbl[_i], 2); _j := _dat[4][20]; return [_dat[11][_j, 0], seq(_dat[11][_j, _vmap[_i]], _i = 1 .. _n-_ne-_nd), seq(_dat[8][1][_vmap[_i]], _i = _n-_ne-_nd+1 .. _n-_ne)] end if; if not type(_dtbl[_i], 'array') then _dtbl[_i] := `dsolve/numeric/SC/IVPdcopy`(_dtbl[1], `if`(assigned(_dtbl[_i]), _dtbl[_i], NULL)); if 0 < _nv then for _j to _nv+1 do if _j <= _nv and not type(_dtbl[_i][3][4][_j, _i-1], 'undefined') then userinfo(3, {'events', 'eventreset'}, `reinit #5, event code `, _j, ` to defined init `, _dtbl[_i][3][4][_j, _i-1]); _dtbl[_i][3][1][_j, 8] := _dtbl[_i][3][4][_j, _i-1] elif _dtbl[_i][3][1][_j, 2] = 0 and irem(iquo(round(_dtbl[_i][3][1][_j, 4]), 32), 2) = 1 then userinfo(3, {'events', 'eventreset'}, `reinit #5, event code `, _j, ` to rate hysteresis init `, _dtbl[_i][5][24]); _dtbl[_i][3][1][_j, 8] := _dtbl[_i][5][24] elif _dtbl[_i][3][1][_j, 2] = 0 and irem(iquo(round(_dtbl[_i][3][1][_j, 4]), 2), 2) = 0 then userinfo(3, {'events', 'eventreset'}, `reinit #5, event code `, _j, ` to initial init `, _x0); _dtbl[_i][3][1][_j, 8] := _x0 else userinfo(3, {'events', 'eventreset'}, `reinit #5, event code `, _j, ` to fireinitial init `, _x0-2*_i+5.0); _dtbl[_i][3][1][_j, 8] := _x0-2*_i+5.0 end if end do end if end if; if _xin <> "last" then if 0 < 0 then if `dsolve/numeric/checkglobals`(op(_dtbl[1][14]), _pars, _n, _y0) then `dsolve/numeric/SC/reinitialize`(_dtbl, _y0, _n, procname, _pars, _i) end if end if; if _dtbl[1][4][7] = 0 then error "parameters must be initialized before solution can be computed" end if end if; _dat := eval(_dtbl[_i], 2); _dtbl[4] := _i; try _src := `dsolve/numeric/SC/IVPrun`(_dat, _xout) catch: userinfo(2, `dsolve/debug`, print(`Exception in solnproc:`, [lastexception][2 .. -1])); error  end try; if _src = 0 and 10 < _dat[4][9] then _val := _dat[3][1][_nv+1, 8] else _val := _dat[11][_dat[4][20], 0] end if; if _src <> 0 or _dat[4][9] <= 0 then _dtbl[1][5][1] := _xout else _dtbl[1][5][1] := _val end if; if _i = 3 and _val < _xout then Rounding := -infinity; if _dat[4][9] = 1 then error "cannot evaluate the solution further right of %1, probably a singularity", evalf[8](_val) elif _dat[4][9] = 2 then error "cannot evaluate the solution further right of %1, maxfun limit exceeded (see <a href='http://www.maplesoft.com/support/help/search.aspx?term=dsolve,maxfun' target='_new'>?dsolve,maxfun</a> for details)", evalf[8](_val) elif _dat[4][9] = 3 then if _dat[4][25] = 3 then error "cannot evaluate the solution past the initial point, problem may be initially singular or improperly set up" else error "cannot evaluate the solution past the initial point, problem may be complex, initially singular or improperly set up" end if elif _dat[4][9] = 4 then error "cannot evaluate the solution further right of %1, accuracy goal cannot be achieved with specified 'minstep'", evalf[8](_val) elif _dat[4][9] = 5 then error "cannot evaluate the solution further right of %1, too many step failures, tolerances may be too loose for problem", evalf[8](_val) elif 10 < _dat[4][9] then if _dat[4][9]-10 = _nv+1 then error "constraint projection failure on event at t=%1", evalf[8](_val) elif _dat[4][9]-10 = _nv+2 then error "index-1 and derivative evaluation failure on event at t=%1", evalf[8](_val) elif _dat[4][9]-10 = _nv+3 then error "maximum number of event iterations reached (%1) at t=%2", round(_dat[3][1][_nv+1, 3]), evalf[8](_val) else if _Env_dsolve_nowarnstop <> true then `dsolve/numeric/warning`(StringTools:-FormatMessage("cannot evaluate the solution further right of %1, event #%2 triggered a halt", evalf[8](_val), round(_dat[3][1][_dat[4][9]-10, 1]))) end if; Rounding := 'nearest'; _xout := _val end if else error "cannot evaluate the solution further right of %1", evalf[8](_val) end if elif _i = 2 and _xout < _val then Rounding := infinity; if _dat[4][9] = 1 then error "cannot evaluate the solution further left of %1, probably a singularity", evalf[8](_val) elif _dat[4][9] = 2 then error "cannot evaluate the solution further left of %1, maxfun limit exceeded (see <a href='http://www.maplesoft.com/support/help/search.aspx?term=dsolve,maxfun' target='_new'>?dsolve,maxfun</a> for details)", evalf[8](_val) elif _dat[4][9] = 3 then if _dat[4][25] = 3 then error "cannot evaluate the solution past the initial point, problem may be initially singular or improperly set up" else error "cannot evaluate the solution past the initial point, problem may be complex, initially singular or improperly set up" end if elif _dat[4][9] = 4 then error "cannot evaluate the solution further left of %1, accuracy goal cannot be achieved with specified 'minstep'", evalf[8](_val) elif _dat[4][9] = 5 then error "cannot evaluate the solution further left of %1, too many step failures, tolerances may be too loose for problem", evalf[8](_val) elif 10 < _dat[4][9] then if _dat[4][9]-10 = _nv+1 then error "constraint projection failure on event at t=%1", evalf[8](_val) elif _dat[4][9]-10 = _nv+2 then error "index-1 and derivative evaluation failure on event at t=%1", evalf[8](_val) elif _dat[4][9]-10 = _nv+3 then error "maximum number of event iterations reached (%1) at t=%2", round(_dat[3][1][_nv+1, 3]), evalf[8](_val) else if _Env_dsolve_nowarnstop <> true then `dsolve/numeric/warning`(StringTools:-FormatMessage("cannot evaluate the solution further left of %1, event #%2 triggered a halt", evalf[8](_val), round(_dat[3][1][_dat[4][9]-10, 1]))) end if; Rounding := 'nearest'; _xout := _val end if else error "cannot evaluate the solution further left of %1", evalf[8](_val) end if end if; if _EnvInFsolve = true then _dig := _dat[4][26]; _dat[4][26] := _EnvDSNumericSaveDigits; _Env_dsolve_SC_native := true; if _dat[4][25] = 1 then _i := 1; _dat[4][25] := 2 else _i := _dat[4][25] end if; _val := `dsolve/numeric/SC/IVPval`(_dat, _xout, _src); _dat[4][25] := _i; _dat[4][26] := _dig; [_xout, seq(_val[_vmap[_i]], _i = 1 .. _n-_ne)] else Digits := _dat[4][26]; _val := `dsolve/numeric/SC/IVPval`(eval(_dat, 2), _xout, _src); [_xout, seq(_val[_vmap[_i]], _i = 1 .. _n-_ne)] end if end proc, (2) = Array(0..0, {}), (3) = [t, alpha(t), diff(alpha(t), t), theta(t), diff(theta(t), t), x(t), diff(x(t), t), z(t), diff(z(t), t)], (4) = []}); _vars := _dat[3]; _pars := map(rhs, _dat[4]); _n := nops(_vars)-1; _solnproc := _dat[1]; if not type(_xout, 'numeric') then if member(x_rkf45, ["start", 'start', "method", 'method', "left", 'left', "right", 'right', "leftdata", "rightdata", "enginedata", "eventstop", 'eventstop', "eventclear", 'eventclear', "eventstatus", 'eventstatus', "eventcount", 'eventcount', "laxtol", 'laxtol', "numfun", 'numfun', NULL]) then _res := _solnproc(convert(x_rkf45, 'string')); if 1 < nops([_res]) then return _res elif type(_res, 'array') then return eval(_res, 1) elif _res <> "procname" then return _res end if elif member(x_rkf45, ["last", 'last', "initial", 'initial', "parameters", 'parameters', "initial_and_parameters", 'initial_and_parameters', NULL]) then _xout := convert(x_rkf45, 'string'); _res := _solnproc(_xout); if _xout = "parameters" then return [seq(_pars[_i] = _res[_i], _i = 1 .. nops(_pars))] elif _xout = "initial_and_parameters" then return [seq(_vars[_i+1] = [_res][1][_i+1], _i = 0 .. _n), seq(_pars[_i] = [_res][2][_i], _i = 1 .. nops(_pars))] else return [seq(_vars[_i+1] = _res[_i+1], _i = 0 .. _n)] end if elif type(_xout, `=`) and member(lhs(_xout), ["initial", 'initial', "parameters", 'parameters', "initial_and_parameters", 'initial_and_parameters', NULL]) then _xout := convert(lhs(x_rkf45), 'string') = rhs(x_rkf45); if type(rhs(_xout), 'list') then _res := _solnproc(_xout) else error "initial and/or parameter values must be specified in a list" end if; if lhs(_xout) = "initial" then return [seq(_vars[_i+1] = _res[_i+1], _i = 0 .. _n)] elif lhs(_xout) = "parameters" then return [seq(_pars[_i] = _res[_i], _i = 1 .. nops(_pars))] else return [seq(_vars[_i+1] = [_res][1][_i+1], _i = 0 .. _n), seq(_pars[_i] = [_res][2][_i], _i = 1 .. nops(_pars))] end if elif type(_xout, `=`) and member(lhs(_xout), ["eventdisable", 'eventdisable', "eventenable", 'eventenable', "eventfired", 'eventfired', "direction", 'direction', NULL]) then return _solnproc(convert(lhs(x_rkf45), 'string') = rhs(x_rkf45)) elif _xout = "solnprocedure" then return eval(_solnproc) elif _xout = "sysvars" then return _vars end if; if procname <> unknown then return ('procname')(x_rkf45) else _ndsol; _ndsol := pointto(_dat[2][0]); return ('_ndsol')(x_rkf45) end if end if; try _res := _solnproc(_xout); [seq(_vars[_i+1] = _res[_i+1], _i = 0 .. _n)] catch: error  end try end proc

 

Warning, cannot evaluate the solution further right of .33009777, probably a singularity

 

 

 

``

``


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