Unanswered Questions

This page lists MaplePrimes questions that have not yet received an answer

Which version of Maple contains its most optimal and elegant coding, regardless of utility,  and was it the product of someone's direct creative input (not auto-coded with AI for example).

As an aside, there's a spelling mistake in the word "separate" below within the "Tags" instruction:

"Tags are words are used to describe and categorize your content. Combine multiple words with dashes(-), and seperate tags with spaces."

Hello,

I have updated to maple 2024 on both my desktop and my laptop, and now I am missing the feature "Convert Output Units:" in the context tab on my windows 11 laptop. It's still available on my windows 10 desktop.

I have tried reinstalling maple and installing java, but it unfortunately did not help. Due to limited school licences, I am unable to test with maple 2023.

Is this an issue you have heard of?

Thank you in advance,

Daniel

 

And here is the context menu on windows 11. Also nothing happens when I click "Format -> Convert Output Units" in the top menu. 

 

Hello, i have been drawing some cool 3d plots for my assignment, but when i use the export button and export it as pdf the plots turn out very low quality. 

See the image below is using the export function

Then i tried something different i tried using the print button and printing to a pdf.

That resulted in a different looking plot

This plot using the print to pdf feature looks much nicer, but the 3d text plot has become impossible to read.

 

Is there a way to fix that? Or to make the export to pdf feature export at higher quality? 

Best Regards

restart;
Fig:=proc(t)
local a,b,c,A,B,C,Oo,P,NorA,NorB,NorC,lieu,Lieu,dr,tx:
uses plots, geometry;
a := 11:b := 7:
c := sqrt(a^2 - b^2):

point(A, a*cos(t), b*sin(t)):
point(B, a*cos(t + 2/3*Pi), b*sin(t + 2/3*Pi)):
point(C, a*cos(t + 4/3*Pi), b*sin(t + 4/3*Pi)):
point(Oo,0,0):
lieu:=a^2*x^2+b^2*y^2-c^4/4=0:
Lieu := implicitplot(lieu, x = -a .. a, y = -b .. b, color = green):

line(NorA, y-coordinates(A)[2] =((a^2*coordinates(A)[2])/(b^2*coordinates(A)[1]))*(x-coordinates(A)[1]),[x, y]):
line(NorB, y-coordinates(B)[2] =((a^2*coordinates(B)[2])/(b^2*coordinates(B)[1]))*(x-coordinates(B)[1]), [x, y]):
line(NorC, y-coordinates(C)[2] =((a^2*coordinates(C)[2])/(b^2*coordinates(C)[1]))*(x-coordinates(C)[1]),[x, y]):
intersection(P,NorA,NorB):

ellipse(p, x^2/a^2 + y^2/b^2 - 1, [x, y]);

tx := textplot([[coordinates(A1)[], "A"],[coordinates(A2)[], "B"], [coordinates(C)[], "C"], [coordinates(Oo)[], "O"],#[coordinates(P)[], "P"]], font = [times, bold, 16], align = [above, left]):
dr := draw([p(color = blue),NorA(color=red,NorB(color=red),NorC(color=red),p(color=blue),
Oo(color = black, symbol = solidcircle, symbolsize = 8), P(color = black, symbol = solidcircle, symbolsize = 8)]):
display(dr,tx,Lieu,scaling=constrained, axes=none,title = "Les triangles inscrits dans une ellipse ont leur centre de gravité en son centre . Lieu du point de concours des perpendicalaires issues des sommets", titlefont = [HELVETICA, 14]);
end:

Error, `:=` unexpected
plots:-animate(Fig, [t], t=0.1..2*Pi, frames=150);
 

Recently, Maple has become almost unuseable. Whatever I do, it suddenly becomes non-reponsive, the cursor stops blipping and nothing happens for about a minute, although I can still move the cursor around and the page slider works, suggesting that the kernel has gone mad.

Then suddenly it comes back to life, executes where it left off, which in most cases happens while I am typing input. A minute later it's back to sleep. When I look at the CPU usage while it is non-responsive, I can see CPU usage is about 30% (there is nothing else significant running), disk usage is about 1% and there is plenty of memory (everything in total wants about 10GB and I have 32GB).

I have the -nocloud parameter set and finally disconnected the network connection, but that didn't help.

It all seems to have started with the most recent upgrade, although I'm not 100% sure of that.

Is anyone else seeing something like this, or better yet, does anyone have a suggestion to make this behaviour stop?

How does one downgrade to 2024.1?

Thank you.

the second ode is giving me zero also when we back to orginal under the condition by using them must the orginal ode be zero but i don't know where is mistake , when Orginal paper use some thing different but i think they must have same results i don't know i use them wrong i am not sure at here just , when U(xi)=y(z) in my mw

restart

with(PDEtools)

NULL

undeclare(prime)

`There is no more prime differentiation variable; all derivatives will be displayed as indexed functions`

(1)

NULL

G := V(xi) = RootOf(3*_Z^2-3*_Z-1)*B[1]+B[1]*(exp(xi)+exp(-xi))/(exp(xi)-exp(-xi))

V(xi) = RootOf(3*_Z^2-3*_Z-1)*B[1]+B[1]*(exp(xi)+exp(-xi))/(exp(xi)-exp(-xi))

(2)

NULL

p := 2*k

2*k

(3)

ode := I*(-(diff(U(xi), xi))*p*exp(I*(k*x-t*w))-I*U(xi)*w*exp(I*(k*x-t*w)))+(diff(diff(U(xi), xi), xi))*exp(I*(k*x-t*w))+(2*I)*(diff(U(xi), xi))*k*exp(I*(k*x-t*w))-U(xi)*k^2*exp(I*(k*x-t*w))+eta*U(xi)*exp(I*(k*x-t*w))+beta*U(xi)^n*U(xi)*exp(I*(k*x-t*w))+gamma*U(xi)^(2*n)*U(xi)*exp(I*(k*x-t*w))+delta*U(xi)^(3*n)*U(xi)*exp(I*(k*x-t*w))+lambda*U(xi)^(4*n)*U(xi)*exp(I*(k*x-t*w)) = 0

I*(-2*(diff(U(xi), xi))*k*exp(I*(k*x-t*w))-I*U(xi)*w*exp(I*(k*x-t*w)))+(diff(diff(U(xi), xi), xi))*exp(I*(k*x-t*w))+(2*I)*(diff(U(xi), xi))*k*exp(I*(k*x-t*w))-U(xi)*k^2*exp(I*(k*x-t*w))+eta*U(xi)*exp(I*(k*x-t*w))+beta*U(xi)^n*U(xi)*exp(I*(k*x-t*w))+gamma*U(xi)^(2*n)*U(xi)*exp(I*(k*x-t*w))+delta*U(xi)^(3*n)*U(xi)*exp(I*(k*x-t*w))+lambda*U(xi)^(4*n)*U(xi)*exp(I*(k*x-t*w)) = 0

(4)

case1 := [beta = 2*RootOf(3*_Z^2-3*_Z-1)*(n+2)/(B[1]*n^2), delta = 2*B[1]*(RootOf(3*_Z^2-3*_Z-1)+1)*(3*n+2)/(3*n^2), eta = (k^2*n^2*B[1]^2-n^2*w*B[1]^2-1)/(n^2*B[1]^2), gamma = -6*RootOf(3*_Z^2-3*_Z-1)*(n+1)/n^2, lambda = B[1]^2*(3*RootOf(3*_Z^2-3*_Z-1)-7)*(2*n+1)/(9*n^2), A[0] = RootOf(3*_Z^2-3*_Z-1)*B[1], A[1] = 0, B[1] = B[1]]

[beta = 2*RootOf(3*_Z^2-3*_Z-1)*(n+2)/(B[1]*n^2), delta = (2/3)*B[1]*(RootOf(3*_Z^2-3*_Z-1)+1)*(3*n+2)/n^2, eta = (k^2*n^2*B[1]^2-n^2*w*B[1]^2-1)/(n^2*B[1]^2), gamma = -6*RootOf(3*_Z^2-3*_Z-1)*(n+1)/n^2, lambda = (1/9)*B[1]^2*(3*RootOf(3*_Z^2-3*_Z-1)-7)*(2*n+1)/n^2, A[0] = RootOf(3*_Z^2-3*_Z-1)*B[1], A[1] = 0, B[1] = B[1]]

(5)

n := 1

1

(6)

G := U(xi) = (B[1]*(RootOf(3*_Z^2-3*_Z-1)+coth(xi)))^(-1/n)

U(xi) = 1/(B[1]*(RootOf(3*_Z^2-3*_Z-1)+coth(xi)))

(7)

pde3 := eval(ode, case1)

I*(-2*(diff(U(xi), xi))*k*exp(I*(k*x-t*w))-I*U(xi)*w*exp(I*(k*x-t*w)))+(diff(diff(U(xi), xi), xi))*exp(I*(k*x-t*w))+(2*I)*(diff(U(xi), xi))*k*exp(I*(k*x-t*w))-U(xi)*k^2*exp(I*(k*x-t*w))+(k^2*B[1]^2-w*B[1]^2-1)*U(xi)*exp(I*(k*x-t*w))/B[1]^2+6*RootOf(3*_Z^2-3*_Z-1)*U(xi)^2*exp(I*(k*x-t*w))/B[1]-12*RootOf(3*_Z^2-3*_Z-1)*U(xi)^3*exp(I*(k*x-t*w))+(10/3)*B[1]*(RootOf(3*_Z^2-3*_Z-1)+1)*U(xi)^4*exp(I*(k*x-t*w))+(1/3)*B[1]^2*(3*RootOf(3*_Z^2-3*_Z-1)-7)*U(xi)^5*exp(I*(k*x-t*w)) = 0

(8)

odetest(eval(G, case1), pde3)

79584*exp(I*k*x-I*t*w+12*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-127440*exp(I*k*x-I*t*w+10*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+8352*exp(I*k*x-I*t*w+6*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-27792*exp(I*k*x-I*t*w+8*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-24*exp(2*xi-I*t*w+I*k*x)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+4752*exp(I*k*x-I*t*w+4*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+288*exp(2*xi-I*t*w+I*k*x)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-479376*exp(I*k*x-I*t*w+12*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+138240*exp(I*k*x-I*t*w+10*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+70560*exp(18*xi+I*k*x-I*t*w)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-492912*exp(I*k*x-I*t*w+16*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+777888*exp(I*k*x-I*t*w+14*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+16608*exp(I*k*x-I*t*w+8*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-1056*exp(I*k*x-I*t*w+6*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+288*exp(I*k*x-I*t*w+4*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-39000*exp(18*xi+I*k*x-I*t*w)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-50400*exp(I*k*x-I*t*w+16*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+121440*exp(I*k*x-I*t*w+14*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+27000*RootOf(3*_Z^2-3*_Z-1)*exp(18*xi+I*k*x-I*t*w)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-55080*RootOf(3*_Z^2-3*_Z-1)*exp(18*xi+I*k*x-I*t*w)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+7200*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+16*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+394416*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+16*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-205920*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+14*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-609984*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+14*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-244512*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+12*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+366768*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+12*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-42480*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+10*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-144720*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+10*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-48672*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+8*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+8208*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+8*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+9504*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+6*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+20736*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+6*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+288*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+4*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+18576*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+4*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-72*RootOf(3*_Z^2-3*_Z-1)*exp(2*xi-I*t*w+I*k*x)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+1080*RootOf(3*_Z^2-3*_Z-1)*exp(2*xi-I*t*w+I*k*x)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))

(9)

simplify(-492912*exp(I*k*x-I*t*w+16*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+777888*exp(I*k*x-I*t*w+14*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+16608*exp(I*k*x-I*t*w+8*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-1056*exp(I*k*x-I*t*w+6*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+288*exp(I*k*x-I*t*w+4*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-39000*exp(18*xi+I*k*x-I*t*w)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-50400*exp(I*k*x-I*t*w+16*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+121440*exp(I*k*x-I*t*w+14*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+79584*exp(I*k*x-I*t*w+12*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-127440*exp(I*k*x-I*t*w+10*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+8352*exp(I*k*x-I*t*w+6*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-27792*exp(I*k*x-I*t*w+8*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-24*exp(2*xi-I*t*w+I*k*x)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+4752*exp(I*k*x-I*t*w+4*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+288*exp(2*xi-I*t*w+I*k*x)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-479376*exp(I*k*x-I*t*w+12*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+138240*exp(I*k*x-I*t*w+10*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+70560*exp(18*xi+I*k*x-I*t*w)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-55080*RootOf(3*_Z^2-3*_Z-1)*exp(18*xi+I*k*x-I*t*w)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+7200*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+16*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+394416*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+16*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-205920*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+14*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-609984*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+14*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-244512*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+12*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+366768*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+12*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-42480*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+10*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-144720*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+10*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-48672*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+8*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+8208*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+8*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+9504*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+6*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+20736*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+6*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+288*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+4*xi)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+18576*RootOf(3*_Z^2-3*_Z-1)*exp(I*k*x-I*t*w+4*xi)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))-72*RootOf(3*_Z^2-3*_Z-1)*exp(2*xi-I*t*w+I*k*x)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+1080*RootOf(3*_Z^2-3*_Z-1)*exp(2*xi-I*t*w+I*k*x)/(B[1]^3*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1))+27000*RootOf(3*_Z^2-3*_Z-1)*exp(18*xi+I*k*x-I*t*w)/(B[1]*(3125*exp(20*xi)+25000*exp(18*xi)+76875*exp(16*xi)+108000*exp(14*xi)+55650*exp(12*xi)-12432*exp(10*xi)-11130*exp(8*xi)+4320*exp(6*xi)-615*exp(4*xi)+40*exp(2*xi)-1)))

(((244512*B[1]^2-366768)*exp(10*xi)+(205920*B[1]^2+609984)*exp(12*xi)+(-7200*B[1]^2-394416)*exp(14*xi)+42480*exp(8*xi)*B[1]^2-27000*exp(16*xi)*B[1]^2-288*exp(2*xi)*B[1]^2-9504*exp(4*xi)*B[1]^2+48672*exp(6*xi)*B[1]^2+72*B[1]^2+144720*exp(8*xi)+55080*exp(16*xi)-18576*exp(2*xi)-20736*exp(4*xi)-8208*exp(6*xi)-1080)*RootOf(3*_Z^2-3*_Z-1)+(-79584*B[1]^2+479376)*exp(10*xi)+(-121440*B[1]^2-777888)*exp(12*xi)+(50400*B[1]^2+492912)*exp(14*xi)+127440*exp(8*xi)*B[1]^2+39000*exp(16*xi)*B[1]^2-288*exp(2*xi)*B[1]^2+1056*exp(4*xi)*B[1]^2-16608*exp(6*xi)*B[1]^2+24*B[1]^2-138240*exp(8*xi)-70560*exp(16*xi)-4752*exp(2*xi)-8352*exp(4*xi)+27792*exp(6*xi)-288)*exp(2*xi-I*t*w+I*k*x)/(B[1]^3*(-3125*exp(20*xi)-25000*exp(18*xi)-76875*exp(16*xi)-108000*exp(14*xi)-55650*exp(12*xi)+12432*exp(10*xi)+11130*exp(8*xi)-4320*exp(6*xi)+615*exp(4*xi)-40*exp(2*xi)+1))

(10)

Download ode.mw

this is my first time something like that   coming up my equation after taking integral exponential coming up why?

g1.mw

Do you think the result of String(0.016)  should be "0.016"  instead of ".16e-1" ?

Any reason why it gives the second form and not the first?  Now have to keep using sprintf to force formating as decimal point. Is this documented somewhere? quick search did not find anything do far.

Maple 2024.2 on windows.

s:="0.016";

"0.016"

z:= :-parse(s);

0.16e-1

String(z);

".16e-1"

sprintf("%0.3f",z);

"0.016"

 

 

Download string_of_decimal_number.mw

I'd like to know the details of the method Statistics:-Mean uses to numerically estimate the expectation of a random variable.

showstat seems of no use and neither seems to be LibraryTools[Browse]();

Here are two examples: the first one (1D) suggests  Statistics:-Mean could use some evalf/Int method, but the conclusion to draw from the second example (R2 --> R) is less clear.

How_does_Mean_proceed.mw

Thanks in advance

PS: I already asked a similar question months ago but didn't get any reply.
       Even answers such as “We don't know” or “We don't care” would suit me better than their absence.

scmch.mw

I can't get a graph. Is this code is correct.Please help.

How to integrate eq (4)? Since 'a', 'b', and 'c' are constant. 

restart

with(DEtools)

declare(z(x), y(x))

declare(z(x), y(x))

(1)

eq1 := (1/2)*(-z(x)^3-2*c*z(x))*(diff(diff(y(x), x), x))-((z(x)^2+2*c)*(diff(y(x), x))+b*z(x)^2+c*k+a)*(diff(z(x), x)) = 0

(1/2)*(-z(x)^3-2*c*z(x))*(diff(diff(y(x), x), x))-((z(x)^2+2*c)*(diff(y(x), x))+b*z(x)^2+c*k+a)*(diff(z(x), x)) = 0

(2)

eq2 := simplify(z(x)*eq1)

-z(x)*(z(x)*((1/2)*z(x)^2+c)*(diff(diff(y(x), x), x))+((z(x)^2+2*c)*(diff(y(x), x))+b*z(x)^2+c*k+a)*(diff(z(x), x))) = 0

(3)

eq3 := eval(int(lhs(eq2), x))

int(-z(x)*(z(x)*((1/2)*z(x)^2+c)*(diff(diff(y(x), x), x))+((z(x)^2+2*c)*(diff(y(x), x))+b*z(x)^2+c*k+a)*(diff(z(x), x))), x)

(4)

NULL

Download integration.mw

The modified Liouville equation

How to solve this pde for a general solution ?

The general solution in this form exist.

restart;

with(PDEtools): declare(u(x,t)); U:=diff_table(u(x,t));
PDE1:=U[t,t]=a^2*U[x,x]+b*exp(beta*U[]);
Sol11:=u(x,t)=1/beta*ln(2*(B^2-a^2*A^2)/(b*beta*(A*x+B*t+C)^2));
Sol12:=S->u(x,t)=1/beta*ln(8*a^2*C/(b*beta))
-2/beta*ln(S*(x+A)^2-S*a^2*(t+B)^2+S*C);
Test11:=pdetest(Sol11,PDE1);
Test12:=pdetest(Sol12(1),PDE1);
Test13:=pdetest(Sol12(-1),PDE1);

u(x, t)*`will now be displayed as`*u

 

table( [(  ) = u(x, t) ] )

 

diff(diff(u(x, t), t), t) = a^2*(diff(diff(u(x, t), x), x))+b*exp(beta*u(x, t))

 

u(x, t) = ln(2*(-A^2*a^2+B^2)/(b*beta*(A*x+B*t+C)^2))/beta

 

proc (S) options operator, arrow; u(x, t) = ln(8*a^2*C/(b*beta))/beta-2*ln(S*(x+A)^2-S*a^2*(t+B)^2+S*C)/beta end proc

 

0

 

0

 

0

(1)

The Soll11 can be plotted with a Explore plot in this form of soll11 with th eparameters , but suppose i try to get the general solution in Maple ?

infolevel[pdsolve] := 3

pdsolve(PDE1, generalsolution)

ans := pdsolve(PDE1);

What solvin gstrategy to follow ? : the pde is a non-linear wave eqation  with a exponentiel sourceterm
It seems that the pde can reduced to a ode? :

 

with(PDEtools):
declare(u(x,t));

# Stap 1: Definieer de PDE
PDE := diff(u(x,t), t,t) = a^2 * diff(u(x,t), x,x) + b * exp(beta * u(x,t));

# Stap 2: Definieer de transformatie naar karakteristieke variabelen
# Nieuw: x en t uitgedrukt in ξ en η
tr := {
    x = (xi + eta)/2,
    t = (eta - xi)/(2*a)
};

# Pas de transformatie toe op de PDE
simplified_PDE := dchange(tr, PDE, [xi, eta], params = [a, b, beta], simplify);

# Stap 3: Definieer de algemene oplossing
solution := u(x,t) = (1/beta) * ln(
    (-8*a^2/(b*beta)) *
    diff(_F1(x - a*t), x) * diff(_F2(x + a*t), x) /
    (_F1(x - a*t) + _F2(x + a*t))^2
);

# Stap 4: Controleer de oplossing (optioneel)
pdetest(solution, PDE);  # Moet 0 teruggeven als correct

u(x, t)*`will now be displayed as`*u

 

diff(diff(u(x, t), t), t) = a^2*(diff(diff(u(x, t), x), x))+b*exp(beta*u(x, t))

 

{t = (1/2)*(eta-xi)/a, x = (1/2)*xi+(1/2)*eta}

 

a^2*(diff(diff(u(xi, eta), xi), xi)-2*(diff(diff(u(xi, eta), eta), xi))+diff(diff(u(xi, eta), eta), eta)) = a^2*(diff(diff(u(xi, eta), xi), xi))+2*a^2*(diff(diff(u(xi, eta), eta), xi))+a^2*(diff(diff(u(xi, eta), eta), eta))+b*exp(beta*u(xi, eta))

 

u(x, t) = ln(-8*a^2*(D(_F1))(-a*t+x)*(D(_F2))(a*t+x)/(b*beta*(_F1(-a*t+x)+_F2(a*t+x))^2))/beta

 

0

(2)

missing some steps here : solution u  without  the pde reduced ?
there is a ode ?

# Definieer de ODE # vorige stappen ontbreken van de reduktie
ode := (v^2 - a^2) * diff(f(xi), xi, xi) = b * exp(beta * f(xi));

# Algemene oplossing zoeken
sol := dsolve(ode, f(xi));

(-a^2+v^2)*(diff(diff(f(xi), xi), xi)) = b*exp(beta*f(xi))

 

f(xi) = ln((1/2)*c__1*(tan((1/2)*(-c__1*a^2*beta+c__1*beta*v^2)^(1/2)*(c__2+xi)/(a^2-v^2))^2+1)/b)/beta

(3)

 

, ,

Question : how do i arrive on Soll11   in Maple  ?

 

Download liouville_reduced_2-2-2025_mprimes_vraag.mw

Hi All,

Maple is changing fast. It is not possible to run some older codes. 

Is it possible those who have a valid Maple license to have the old versions free of charge?

I have Maple 7, 2018, 2021 licenses but still have problem running older codes.

restart; with(PDEtools); declare(F(x, t), G(x, t), H(x, t))

F(x, t)*`will now be displayed as`*F

 

G(x, t)*`will now be displayed as`*G

 

H(x, t)*`will now be displayed as`*H

(1)

q := 1-(diff(diff(log(F(x, t)), x), t)); r := G/F; s := H/F

1-(diff(diff(F(x, t), t), x))/F(x, t)+(diff(F(x, t), x))*(diff(F(x, t), t))/F(x, t)^2

 

G/F

 

H/F

(2)

r1s1 := r*s; r1s1der := diff(r1s1(x, t), x)

qt := diff(q(x, t), t)

eq1B := F(x, t)^3*(qt+r1s1der) = 0; eq12B := simplify(expand(eq1B))

-F(x, t)^3*(diff((diff(diff(F(x, t), t), x))(x, t), t))/(F(x, t))(x, t)+F(x, t)^3*(diff(diff(F(x, t), t), x))(x, t)*(diff((F(x, t))(x, t), t))/(F(x, t))(x, t)^2+F(x, t)^3*(diff((diff(F(x, t), x))(x, t), t))*(diff(F(x, t), t))(x, t)/(F(x, t))(x, t)^2-2*F(x, t)^3*(diff(F(x, t), x))(x, t)*(diff(F(x, t), t))(x, t)*(diff((F(x, t))(x, t), t))/(F(x, t))(x, t)^3+F(x, t)^3*(diff(F(x, t), x))(x, t)*(diff((diff(F(x, t), t))(x, t), t))/(F(x, t))(x, t)^2+F(x, t)*(diff(G(x, t), x))*H(x, t)-2*G(x, t)*H(x, t)*(diff(F(x, t), x))+F(x, t)*G(x, t)*(diff(H(x, t), x)) = 0

(3)

D_x_x_G_F := (diff(G(x, t), x, x))*F(x, t)-2*(diff(G(x, t), x))*(diff(F(x, t), x))+G(x, t)*(diff(F(x, t), x, x)); D_t_t_F_F := F(x, t)*(diff(F(x, t), `$`(t, 2)))-2*(diff(F(x, t), t))^2

(diff(diff(G(x, t), x), x))*F(x, t)-2*(diff(G(x, t), x))*(diff(F(x, t), x))+G(x, t)*(diff(diff(F(x, t), x), x))

 

F(x, t)*(diff(diff(F(x, t), t), t))-2*(diff(F(x, t), t))^2

(4)

NULL

rxt := diff(diff(r(x, t), x), t)

eq2B := -2*q*r+rxt = 0

eq22B := simplify(expand(eq2B))

((-F*F(x, t)*G(x, t)+2*G*F(x, t)^2)*(diff(diff(F(x, t), t), x))+(diff(diff(G(x, t), t), x))*F*F(x, t)^2+((2*F*G(x, t)-2*G*F(x, t))*(diff(F(x, t), x))-F*(diff(G(x, t), x))*F(x, t))*(diff(F(x, t), t))-(diff(G(x, t), t))*(diff(F(x, t), x))*F*F(x, t)-2*G*F(x, t)^3)/(F*F(x, t)^3) = 0

(5)

sxt := diff(diff(s(x, t), x), t)

eq3B := -2*q*s+sxt = 0

eq32B := simplify(expand(eq3B))

((-F*F(x, t)*H(x, t)+2*H*F(x, t)^2)*(diff(diff(F(x, t), t), x))+(diff(diff(H(x, t), t), x))*F*F(x, t)^2+((2*F*H(x, t)-2*H*F(x, t))*(diff(F(x, t), x))-F*(diff(H(x, t), x))*F(x, t))*(diff(F(x, t), t))-(diff(H(x, t), t))*(diff(F(x, t), x))*F*F(x, t)-2*H*F(x, t)^3)/(F*F(x, t)^3) = 0

(6)

"#`# How to simplify Eqs. (3), (5) and (6) and write in terms of following bilineat operators` by using (4)"?""

NULL

NULL

Download BE.mw

Hi,

Experiencing the following problem.  One of our servers was cloned, the GUID was replaced and then rejoined to the domain.  All applications are working exept Maple.  The application launches but then closes right away.  No error messages provided so not sure where else to look for possible fixes to this problem.  The application is runing on Server 2022.

Thank you.

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