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When I open My Maple 18 on my Macbook pro, with all updates on the operating system and on Java, my Maple starts up fine, but when I press 2+2 and the enter, nothing happens.

 

I have tried reinstalling Maple, without any change of the problem

 

Per Kirkegaard

Hi I'm new to maple

I wanted to use dsolve to solve and equation but instead of getting an answer, maple returns an integration.

What could the promblem be?

Thanks

Hello, I am new user of Maple and I have simple problem. I have different results after pasting and typing text. Can you help me?different signs

I am attempting to reproduce the the direction field for the the diferential equation below that I found in a book. I am using the dfieldplot command in the window x=0..3 and y=-1..1 but Maple is only plotting the field above the x-axis. I am aware that this is neither a linear DE nor does it posses a unique solution. Is the type of DE the problem here? Do I need to use a different command?

diff(y(x),x)=3*y(x)^(2/3)

 

Dear All,

I am solving 6 ODE equations with boundary conditions using Runge kutta Felbergh 45 (Maple 12). then, i got this problem.. any suggestion??

Thank you :)

ISPC3.mw

``

restart; with(plots); M := 3; k = .2; blt := 6; r := 2; l := .1; Pr := 6.8; Ec := 2; N := .5; rho := .5; Tv := .5; Tt := .5; c := 1; cm := .1; cp := .1

Eq1 := diff(f(eta), eta, eta, eta)+f(eta)*(diff(f(eta), eta, eta))-(diff(f(eta), eta))^2-M*(diff(f(eta), eta))+B*H(eta)*(F(eta)-(diff(f(eta), eta))) = 0;

diff(diff(diff(f(eta), eta), eta), eta)+f(eta)*(diff(diff(f(eta), eta), eta))-(diff(f(eta), eta))^2-3*(diff(f(eta), eta))+B*H(eta)*(F(eta)-(diff(f(eta), eta))) = 0

(1)

Eq2 := G(eta)*(diff(F(eta), eta))+F(eta)^2+B*(F(eta)-(diff(f(eta), eta))) = 0;

G(eta)*(diff(F(eta), eta))+F(eta)^2+B*(F(eta)-(diff(f(eta), eta))) = 0

(2)

Eq3 := G(eta)*(diff(G(eta), eta))+B*(f(eta)+G(eta)) = 0;

G(eta)*(diff(G(eta), eta))+B*(f(eta)+G(eta)) = 0

(3)

Eq4 := G(eta)*(diff(H(eta), eta))+H(eta)*(diff(G(eta), eta))+F(eta)*H(eta) = 0;

G(eta)*(diff(H(eta), eta))+H(eta)*(diff(G(eta), eta))+F(eta)*H(eta) = 0

(4)

Eq5 := diff(theta(eta), eta, eta)+Pr*(f(eta)*(diff(theta(eta), eta))-2*(diff(f(eta), eta))*theta(eta))+N*Pr*(theta1(eta)-theta(eta))/(rho*c*Tt)+N*Pr*Ec*(F(eta)-(diff(f(eta), eta)))^2/(rho*Tv) = 0;

diff(diff(theta(eta), eta), eta)+6.8*f(eta)*(diff(theta(eta), eta))-13.6*(diff(f(eta), eta))*theta(eta)+13.60000000*theta1(eta)-13.60000000*theta(eta)+27.20000000*(F(eta)-(diff(f(eta), eta)))^2 = 0

(5)

Eq6 := 2*F(eta)*theta1(eta)+G(eta)*(diff(theta1(eta), eta))+cp*(theta1(eta)-theta(eta))/(c*cm*Tt) = 0;

2*F(eta)*theta1(eta)+G(eta)*(diff(theta1(eta), eta))+2.000000000*theta1(eta)-2.000000000*theta(eta) = 0

(6)

bcs1 := f(0) = r, (D(f))(0) = -1, (D(f))(blt) = 0, F(blt) = 0, G(blt) = -f(blt), H(blt) = k, theta(0) = 1, theta(blt) = 0, theta1(blt) = 0;

f(0) = 2, (D(f))(0) = -1, (D(f))(6) = 0, F(6) = 0, G(6) = -f(6), H(6) = k, theta(0) = 1, theta(6) = 0, theta1(6) = 0

(7)

L := [0.1e-2];

[0.1e-2]

(8)

for k to 1 do R := dsolve(eval({Eq1, Eq2, Eq3, Eq4, Eq5, Eq6, bcs1}, B = L[k]), [f(eta), F(eta), G(eta), H(eta), theta(eta), theta1(eta)], numeric, output = listprocedure); Y || k := rhs(R[2]); YP || k := rhs(R[3]); YR || k := rhs(R[4]); YQ || k := rhs(R[5]) end do

Error, (in dsolve/numeric/bvp) initial Newton iteration is not converging

 

R

R

(9)

print([(YP || (1 .. 1))(0)]);

[YP1(0)]

(10)

``

P1 := plot([YP || (1 .. 1)], 0 .. 14, labels = [eta, (D(f))(eta)]):

Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct

 

plots:-display([P1]);

 

``

``


Download ISPC3.mw

restart; with(linalg); with(stats); with(plots); with(Statistics); with(LinearAlgebra); 


s := 1/(273.16+50); s1 := 1/(273.16+145); s3 := 1/(273.16+250); s2 := 1/(273.16+197.5); gamma0 := 0.1e-3; gamma1 := .5; gamma2 := 0.15e-2; beta := -3800;
c := 300; n := 200; tau1 := 99; tau2 := 120;

Delta := solve(1-exp(-(gam0*tau1+(1/2)*gam1*tau1^2)*exp(beta*s1)) = 1-exp(-(gam0*a+(1/2)*gam1*a^2)*exp(beta*s2)), a);
a := Delta[1];


Theta := solve(1-exp(-(gam0*(a+tau2-tau1)+(1/2)*gam1*(a+tau2-tau1)^2)*exp(beta*s2)) = 1-exp(-(gam0*b+(1/2)*gam1*b^2)*exp(beta*s3)), b);
b := Theta[1];

n1 := n*(int((gam1*t+gam0)*exp(beta*s1)*exp(-(gam0*t+(1/2)*gam1*t^2)*exp(beta*s1)), t = 0 .. tau1));
200. - 200. exp(-0.01119474511 gam0 - 0.5541398828 gam1)
n2 := (n-n1)*(int((gam1*t+gam0)*exp(beta*s2)*exp(-(gam0*t+(1/2)*gam1*t^2)*exp(beta*s2)), t = a .. a+tau2-tau1));

g1 := -n1(gam0, gam1)*(int((1/(gam1*t+gam0)-t*exp(beta*s1))*(gamma2*t^2+gamma1*t+gamma0)*exp(beta*s1)*exp(-(gamma0*t+(1/2)*gamma1*t^2+(1/3)*gamma2*t^3)*exp(beta*s1)), t = 0 .. tau1))-evalf(n2(gam0, gam1)*(int((1/(gam0+gam1*(a+t-tau1))-(a+t-tau1)*exp(beta*s2))*(gamma0+gamma1*(a+t-tau1)+gamma2*(a+t-tau1)^2)*exp(beta*s2)*exp(-(gamma0*(a+t-tau1)+(1/2)*gamma1*(a+t-tau1)^2+(1/3)*gamma2*(a+t-tau1)^3)*exp(beta*s2)), t = tau1 .. tau2)))

g2 := -n1*(int((t/(gam1*t+gam0)-(1/2)*t^2*exp(beta*s1))*(gamma2*t^2+gamma1*t+gamma0)*exp(beta*s1)*exp(-(gamma0*t+(1/2)*gamma1*t^2+(1/3)*gamma2*t^3)*exp(beta*s1)), t = 0 .. tau1))-evalf(n2*(int(((a+t-tau1)/(gam0+gam1*(a+t-tau1))-(1/2)*(a+t-tau1)^2*exp(beta*s2))*(gamma0+gamma1*(a+t-tau1)+gamma2*(a+t-tau1)^2)*exp(beta*s2)*exp(-(gamma0*(a+t-tau1)+(1/2)*gamma1*(a+t-tau1)^2+(1/3)*gamma2*(a+t-tau1)^3)*exp(beta*s2)), t = tau1 .. tau2)))

solve({g1 = 0, g2 = 0}, {gam0, gam1})

I want to find the answer of gam0 and gam1. It takes me 20 hours until now...and still evaluating...

Please Help ..

I can't directly copy Maple code into messages but have to insert into Word first, apply some changes that for better readability and copy it from there via Word-paste. Is there a direct way?

Hello People in Mapleprimes,

 

I have a question about the codes in the help page of assign.

Please tell me about this.

The folliowing codes were written there:

code (A)

assign(a,c):

assign(a=d,b=2):

a,b,c;

 

The output of these was 

d,2,d

 

I think that assign(a,c) means assign(a=c) or a:=c, not c:=a.

If what I wrote was true, the output of the above code should be

d,2,c.

And, if I changed assign(a,c) to assign(c,a), the output was d,2,d, which is the output written on the helppage 

of the assign. On the other hand, the output of code A was surely d,2,d.

Why does assign(a,c) have the same meaning as assign(c,a)?

 

Best wishes

 

taro

Hallo. There is a package "Standard Form" (for Maple 3 & 4): http://www.cecm.sfu.ca/~wittkopf/

I am interesting if it can be converted for modern Maple 18?

 

The Maple help definition for spherical coordinates uses the triple (r, φ, θ) (Note the ordering!!) with φ in the range 0..Π and θ in the range 0..2Π. This means that the second entry in the triple is the zenith angle (latitude) and the third entry in th triple is the azimuth angle (longitude). This is confirmed by the relation to cartesian coordinates stated on the definition page as
x= r sin(φ) cos(θ)

y= r sin(φ) sin(θ)

z= r cos(φ)

However the help page for coords has spherical polars defined by the triple (u, v, w), with the relation to cartesian coordinates given as

x= u cos(v) sin(w)

y= u sin(v) sin(w)

z= u cos(w)

which suggests that this time it is the third entry in the triple (ie w) which is the zenith angle (latitude), with the second entry being the azimuth (longitude).

My simple-minded attempt to check which of these interpretations is correct is shown in the attached worksheet. This seems to confirm that the MapleHelp definitions page is correct and the help/coords page is incorrect - or am I missing something??

Download posVecChk.mw

 

 

Hello Maple


I am preparing for an examination in Calculus, but my worksheet in Maple 18 doesn't cooperate. 

A lot of my studypartners use Maple 16 and they have no problems. 


I meet the following error: 

- Error, (in solve) invalid input: hastype expects 2 arguments, but received 1


I'm totally sure, that I'm typing correctly, because I write just the same as my studypartners. 
So is it an error, which only is seen in Maple 18 and can I do anything to solve the problem?

Kind regards
Anders Kristensen

PS: I can't figure out how to add a picture

The William Lowell Putnam Mathematical Competition, often abbreviated to the Putnam Competition, is an annual mathematics competition for undergraduate college students enrolled at institutions of higher learning in the world (regardless of the students' nationalities). One can see some problems and answers here. I find it remarkable that a lot of these problems can be done with Maple. Here is a sample (The DirectSearch package should be downloaded from http://www.maplesoft.com/applications/view.aspx?SID=101333 and installed in your Maple.).

 

rsolve({a(k)=a(k-1)^2-2,a(0)=5/2},a)#2014,A-3

NULL

rs := unapply(rsolve({a(0) = 5/2, a(k) = a(k-1)^2-2}, a), k)

proc (k) options operator, arrow; 2*cosh(arccosh(5/4)*2^k) end proc

(1)

(2)

evalf(product(1-1/rs(k), k = 0 .. infinity))

.4285714286

(3)

identify(%)

3/7

(4)

sol := solve({1/x-1/(2*y) = 2*(-x^4+y^4), 1/x+1/(2*y) = (x^2+3*y^2)*(3*x^2+y^2)}, explicit)

sol[1]; evalf(sol)

{x = 1.122865470, y = .1228654698}, {x = -0.39087502e-2+.3661111372*I, y = -1.003908750+.3661111372*I}, {x = .6924760152-.5923802638*I, y = -.3075239848-.5923802638*I}, {x = .6924760152+.5923802638*I, y = -.3075239848+.5923802638*I}, {x = -0.39087502e-2-.3661111372*I, y = -1.003908750-.3661111372*I}, {x = .3469845126+.1168520057*I, y = 0.3796751170e-1+1.067908527*I}, {x = .7773739670+.4755282581*I, y = .4683569607-.4755282736*I}, {x = .2183569726+.2938926261*I, y = 1.027373941-.2938926802*I}, {x = .3469845126+1.067908522*I, y = 0.3796751830e-1+.1168520056*I}, {x = -.2120324818+.8862728900*I, y = .5969845187+.2984876419*I}, {x = -.3494002531+.8416393955*I, y = -.6584172547-.1094171332*I}, {x = -.2120324818+.2984876377*I, y = .5969845144+.8862728969*I}, {x = -.9084172475+.6600037635*I, y = -0.9940025307e-1+0.7221851120e-1*I}, {x = -.3494002531+.1094171208*I, y = -.6584172336-.8416394020*I}, {x = -.9084172475+0.7221851117e-1*I, y = -0.9940025050e-1+.6600037719*I}, {x = -.9084172475-0.7221851117e-1*I, y = -0.9940025050e-1-.6600037719*I}, {x = -.3494002531-.1094171208*I, y = -.6584172336+.8416394020*I}, {x = -.9084172475-.6600037635*I, y = -0.9940025307e-1-0.7221851120e-1*I}, {x = -.2120324818-.2984876377*I, y = .5969845144-.8862728969*I}, {x = -.3494002531-.8416393955*I, y = -.6584172547+.1094171332*I}, {x = -.2120324818-.8862728900*I, y = .5969845187-.2984876419*I}, {x = .3469845126-1.067908522*I, y = 0.3796751830e-1-.1168520056*I}, {x = .2183569726-.2938926261*I, y = 1.027373941+.2938926802*I}, {x = .7773739670-.4755282581*I, y = .4683569607+.4755282736*I}, {x = .3469845126-.1168520057*I, y = 0.3796751170e-1-1.067908527*I}

(5)

plots:-implicitplot([1/x+1/(2*y) = (x^2+3*y^2)*(3*x^2+y^2), 1/x-1/(2*y) = 2*(-x^4+y^4)], x = 0 .. 2, y = 0 .. 1, color = [red, blue], gridrefine = 4)

 

"http://kskedlaya.org/putnam-archive/  and https://en.wikipedia.org/wiki/William_Lowell_Putnam_Mathematical_Competition"

Re(convert(int(ln(x+1)/(x^2+1), x = 0 .. 1), polylog))

(1/8)*Pi*ln(2)

(6)

Im(convert(int(ln(x+1)/(x^2+1), x = 0 .. 1), polylog))

0

(7)

NULL

DirectSearch:-GlobalOptima(int(sqrt(x^4+(-y^2+y)^2), x = 0 .. y), {y = 0 .. 1}, maximize)

[.333333333333333, [y = HFloat(0.9999999999999992)], 96]

(8)

rsolve({T(0) = 2, T(1) = 3, T(2) = 6, T(n) = (n+4)*T(n-1)-4*n*T(n-2)+(4*n-8)*T(n-3)}, T)

GAMMA(n+1)+2^n

(9)

floor(10^20000/(10^100+3))

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(10)

int(exp(-1985*(t+1/t))/sqrt(t), t = 0 .. infinity)

(1/1985)*Pi^(1/2)*exp(-3970)*1985^(1/2)

(11)

l := [seq(LinearAlgebra:-Determinant(Matrix(n, proc (i, j) options operator, arrow; 1/min(i, j) end proc)), n = 1 .. 10)]

[1, -1/2, 1/12, -1/144, 1/2880, -1/86400, 1/3628800, -1/203212800, 1/14631321600, -1/1316818944000]

(12)

with(gfun):

rec := listtorec(l, u(n))

[{u(n+1)+(n^2+5*n+6)*u(n+2), u(0) = 1, u(1) = -1/2}, ogf]

(13)

rsolve(rec[1], u)

(-1)^n*(n+1)/GAMMA(n+2)^2

(14)

``

Hope the reader will try to continue the above.

Download Putnam_done_with_Maple.mw

Dear All,

I'm trying to solve the following in Maple.

minimize(int(0.1e-3+.5*t+0.2e-2*t^2-b*t-a, t = 0 .. 300), location = true)

But Maple told me that the answer is

Float(-infinity), {[{a = Float(infinity), b = Float(infinity)}, Float(-infinity)]}.

I really need to get a kind of numerical answer. Would it be possible? Please Help me!!

Hi

I have this PDE and was wondering how I can get Maple to solve it

utt+2ut-uxx=18sin(3πx/l)

with conditions u(0,t)=u(l,t)=0 and u(x,0)=ut(x,0)=0

Thanks

James

 

 

 

ds(t)/dt = a*s(t)*(1 - s(t) - m(t)) - b*s(t) 

dm(t)/dt = c*s(t) - d*m(t)

 

need to find steady state of this system ( finding this simultaneously) in maple 

 

How can you do it? 

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