Dear All,

I would like check with you about the real form of the functions following modified bessel functions.

BesselI(0,i*x) and BesselK(0,i*x), where i is the complex variable. IS there any real form to these functions in either BesselJ and BesselY. 

I come across the BesselJ(0,i*x)  = BesselI(0,x). However, I was not able to find the converse relation.

I have not seen the complex arguments...

solve_assume.mw

dear experts

the above solution violates my assumption phi should be between -1.57 and +1.57. why?

Hi Maple users and experts!

I have some systems of non linear equations. Maple's "solve" is often able to give explicit solutions. However, I'm actually not very interested in the solutions but rather in knowing whether or not a unique solution exists. Is there a way to determine this with maple?

Thanks!

- John

Hellow,

 any one know how to solve the second order differential equation using finite element method (Using Linear shape functions)

Hi,

I'm dealing with an iterated function (logistic map) where f(x)=s*x*(1-x) where the s is a general parameter between 1 and 4 inclusive, and it's fourth return map, or f(f(f(f(x)))) or f^[4](x).

h:x->f(f(f(f(x))))

What I'm trying to do hinges on evaluating this:

solve(h(x)=x,x);

a

DoExist := proc(tau, n)

if rtable_num_elems(tau) >= n then

        return tau[n];

else

        return 0;

end if;

end proc;

g1 := [0, y, x];

g2 := [0, y^2-x-y, 0];

g3 := [x, x+y, 0];

g4 := [y, -y, 0];

g5 := [0, x*y+x/2+y/2, 0];

g6 := [0, x^2-x/4-y/4, 0];

m1 := Basis(g1, tdeg...

> restart; with(plottools);

> U := u(x, t);


> pde := (diff(U, `$`(x, 2)))/(2*x)^2 = (1/1250)*(diff(U, `$`(x, 2)))+(1/9)*sin(0.10e-1*Pi*t)*exp(0.10e-1*Pi*t^2);

ic := u(x, 0) = x^2, (D[2](u))(x, 0) = 1;

bc := (D[1](u))(0, t) = 0, u(1, t) = 1;

> S := pdsolve(pde, {bc, ic}, numeric);
Error, (in pdsolve/numeric/par_hyp) Incorrect number of initial conditions, expected 0, got 2
       ...

ode := diff(x(t), t, t) = 1^2*(cosh(x(t))-1)/cosh(x(t))

ics := x(0) = 2, (D(x))(0) = 0

xs := dsolve({ics, ode})

plot(xs, t = 0 .. 3)

why do i get this error?

Error, invalid input: plot expects its 1st argument, p, to be of type {set, array, list, rtable, algebraic, procedure, And(`module`, appliable)}, but received x(t) = RootOf(Int(1/(-4*arctan(exp(_a))+4*arctan(exp(2))-4+2*_a)^(1/2), _a = _Z .. 2)+t)

i want to solve these equations to find the 18 coefficents,how should i solve them to solve it in minimum time possible?

eq(1):= -2144447222.22*a(7)-1531751031.75*a(8)-1148816190.48*a(9)-584858207.070*a(12)-5003703703.71*a(18)-714823743.386*a(11)-893526455.026*a(10)-5361111111.11*a(17)-5744047619.05*a(16)-6433333333.35*a(13)-6433333333.34*a(14)-6126984126.99*a(15);

eq(2):=-1531747698.41*a(7)-1148812857.14*a(8)-4288888888.90*a(13)-4595238095.25*a(14)-4595238095.24*a(15...

Hello,

I`m having trouble using dsolve in a loop in order to evaluate a differential equation for different constants/initial values. I`ve imported the data for the constants from excel using the import function and have defined them, and then created the differential equation which returned a DE with array parts. I created a sequence called sys_ode ad sys_init_val so that I could easily call the DE`s individually. I now wish to solve the DE at each of these points...

if you have four teams a b c and d playing in a tournament and teams a and d have not played each other but all other teams have played .. typing this from my phone but its not too friendly ...  soccer scores how would you determine who would win and by what score

How to implement this in maple, can be developed graphically?

Hi all,

I have a question concerning a 3d theory to calculate forces, stresses, deflections, etc. I am calculating a simply supported beam (a cylindrical pile). The theory is build up cylindrical coordinates; x and theta.

solving the theory gives me deflection in 3 directions; ur (radial), ux (length), utheta (along the surface). To plot a the deflection of the pile I convert all to cartesian coordinates:

> xcart := unapply(x+ux(x, theta), [x, theta])

Hi all,

I've just started learning Maple. I can't figure it out how to transform my problem into maple syntax.

My problem includes solving a simple algebraic equation, that is,

Y[k+1] = -10*Y[k]

I would like to solve this equation for different values of k, for example, k = 0,1,2,3.

and express my results in terms of Y[0], i.e,.

Y[1] = -10*Y[0];

Y[2] = -10*Y[1] = 100*Y[0]

Y[3] = -1000*Y[0]

I don't know...

hello support,brand new to maple. i am trying to plot the solution for the functions cosx=x. if i set these both like so: y = cosx and y=x.orf:=cos(x);f:=x;it will plot the cosine function.how do i plot these in maple 17, i tried using the graphing calculator also that comes with maple 17 but that for some reason will not allow me to type an equal sign , i looked over the web for a solution.so i pose the question why the graphing calculator will not accept the "=" sign???thanks,noobie craig