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Maple 2022 Questions and Posts

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strange window behavior problem...

Asked by: segfault 140
linux
May 12 2024
0  0

OS Linux

I have Maple 2022 open with a worksheet on a specific workspace.

I then move to a different workspace and want to start a new instance of maple for a new problem.

In command line I exacute

$]xmaple22 –standalone  filename.mw

Unfortunately when the new instance is started, the open maple instance on the first workspace is moved automatically to the second workspace together with the new instance opened, completely messing up the organization.

This is not expected behavior.

How can I make Maple execute absolutely independent instances of xmaple22 without indiscressionately and automatically moving existing open maple instances to the current workspace.

Severely annoying. Maple 9.5 e.g. does not have this behavior at all so Maple 2022 is a step backwards in this regard.

Thanks

Implicit functions in Maple...

Asked by: learningmath 10
homework implicitplot tangent
May 09 2024
2  2

Hi everyone,

I'm having trouble in maple to do the following:
Plot the curve x^3-4xy+2y^3=0 , as x variesbetween -3 and 3 with the aid of the implicitplot command

find dy/dx at all points (x,y) on the curve for which x=1. and find the equations of the lines tangent to the curve at the points

plot the curve and tangent lines on the same set of axes

Any help would be appreciated , thank you.

Why does no substitution work on some functions ?...

Asked by: WA573 80
substitution subs
May 06 2024
0  4

Why does no substitution work on functions with s(n+1,t) (see eqns (2-8))? Also (∂)/(∂ (sigma2*t))=1/(sigma2)(∂)/(∂ t), how can I do it on Maple?shift.mw

Third party package...

Asked by: mz6687 40
package library
May 06 2024
0  3

I am trying to load the third-party package 'CPC Program Library (qub.ac.uk)' by following the instructions as in 'how to install wkptest? - MaplePrimes'. But encounter with Errors: '

Error, `:` unexpected
with(wkptest);
Error, invalid input: with expects its 1st argument, pname, to be of type {`module`, package}, but received wkptest

> 

restart:
> 

sourcefolder:=cat(kernelopts('C:\Users\ahmed\Downloads\adty_v1_0'),"/wkptest");
installfolder:=cat(kernelopts('homedir'),"/maple/toolbox/wkptest/lib");
FileTools:-MakeDirectory(installfolder, 'recurse'=true);
libraryfile:=cat(installfolder,"/wkptest.mla");
try
  FileTools:-Remove(libraryfile);
catch:
end try:
LibraryTools:-Create(libraryfile);
libname:=libraryfile,libname;
read cat(sourcefolder,"/wkptest_cpc");

Error, `:` unexpected

  
> 

with(wkptest);

Error, invalid input: with expects its 1st argument, pname, to be of type {`module`, package}, but received wkptest

  
 

 

Download exam_wkptest1.mws

How can I make if-statement work in my code?...

Asked by: Dkunb 65
if-then spelling
May 01 2024
0  1

How can I make if-statement work in my code?
assuming m,n :: integers
Thank you in advance.

> 

restart;
> 

 

> 

x2 := proc(m,n)
  if ((is(m,even) and is(n,odd)) or (is(m,odd)and is(n,even))) then -8*L*m*n/(m+n)^2/Pi^2/(m-n)^2;
  else  0;
  end if;
end poc:

Error, missing operator or `;`

  


Download test2.mw

How do I integrate in Maple?...

Asked by: Dkunb 65
integration
April 30 2024
1  2

How can I  get the result for the integration when m =n or m is not equal to n and How can I add assumption that m, or n can be even or odd?

Thanks in advance for your help.

 
> 

restart;
phi := proc(k,x,L)
  if (type(k,even)) then sqrt(2)*sin(Pi*k*x/L)/sqrt(L)
  else sqrt(2)*cos(Pi*k*x/L)/sqrt(L)
  end if;
end proc:
> 

Int(phi(m,x,L)*_h^2/m2*diff(phi(n,x,L),x,x),x=-L/2..L/2);

Int(-2*cos(Pi*m*x/L)*_h^2*Pi^2*n^2*cos(Pi*n*x/L)/(L^3*m2), x = -(1/2)*L .. (1/2)*L)

 (1)
 

 

Download test1.mw

 

Factor in matrix form...

Asked by: Dkunb 65
matrix factorization simplification
April 16 2024
1  5

ras5_v1.mw 

How can I  change eq13 to eq14 without using op command manually?

Thank you for your help in advance,

HELP WITH A CORRUPTED FILE ASAP!...

Asked by: Bubbleee 5
worksheet corruption
April 15 2024
1  5

Hey! I need help ASAP, because my maple file has been corrupted and i dont know what to do. Do you guys know how to recover a file? i can save it again as_mw. but should i change it to xml? or how? i have the link to my maple file attached, so if someone can help me, it could be helpful! Because i have an upcoming exam. Thanks youu

How can a trigonometric expression, including cos(...

Asked by: Ali Hassani 120
simplification trig
April 09 2024
1  3

 

Dear All,
I want to simplify the following trigonometric expression, considering that m is an integer number. For this, I use the following command:

expr:= 4*cos(Pi*m)/(Pi*(2*m + 1)); 
simplify(%, assume=integer);
factor(%);

However, if I want to simplify the following trigonometric expression, m is an integer number, and alpha is a real number, using the following command will lead to the wrong answer because alpha is also considered an integer number. Please guide me.

4*cos(Pi*m+2*alpha*Pi)/(Pi*(2*m + 1));
simplify(%, assume=integer);
factor(%);

Best wishes

How to make a legend box?...

Asked by: Debdp07 20
plot legend plotting
April 08 2024
0  2

How can I make a legend for this plot?

 

plot([17.85*(2.65*t^2 + 1 + 3*t)^2/t^2, 17.85*(2.65*t^2 - 47 + 3*t)^2/t^2, 17.85*(2.65*t^2 - 97 + 3*t)^2/t^2, 17.85*(2.65*t^2 - 147 + 3*t)^2/t^2, 17.85*(2.65*t^2 - 197 + 3*t)^2/t^2], t = 0 .. 25, labels = ['t', 'x'], labelfont = [Times, 12])

 I got the following figure.

 plot([17.85*(2.65*t^2 + 1 + 3*t)^2/t^2, 17.85*(2.65*t^2 - 47 + 3*t)^2/t^2, 17.85*(2.65*t^2 - 97 + 3*t)^2/t^2, 17.85*(2.65*t^2 - 147 + 3*t)^2/t^2, 17.85*(2.65*t^2 - 197 + 3*t)^2/t^2], t = 0 .. 25, labels = ['t', 'x'], labelfont = [Times, 12])


Now I want to put a legend box in this plot for each color line. How can I do it?
 

Verification problem for power series solutions fo...

Asked by: dds 20
pde differential-equations rifsimp
April 06 2024
2  2

Dear Maple community,

I am facing a little problem verifying a power series solution obtained with Maple since the direct substitution back into the PDEs does not seem to be conclusive because the residual contains the powers of independent variables to almost any order.

Please see the enclosed Maple file with a minimal working example:

> 

restart:
> 

with(DETools):
> 

PDE1 := diff(eta(t,x),t) + 1/2*diff(u(t,x),x) + 1/2*eta(t,x)*diff(u(t,x),x) - 1/48*diff(u(t,x),x$3) + diff(eta(t,x),x)*u(t,x);

diff(eta(t, x), t)+(1/2)*(diff(u(t, x), x))+(1/2)*eta(t, x)*(diff(u(t, x), x))-(1/48)*(diff(diff(diff(u(t, x), x), x), x))+(diff(eta(t, x), x))*u(t, x)

 (1)
> 

PDE2 := diff(u(t,x),t) + u(t,x)*diff(u(t,x),x) + diff(eta(t,x),x,t,t) + diff(eta(t,x),x) - 1/6*diff(u(t,x),x,x,t);

diff(u(t, x), t)+u(t, x)*(diff(u(t, x), x))+diff(diff(diff(eta(t, x), t), t), x)+diff(eta(t, x), x)-(1/6)*(diff(diff(diff(u(t, x), t), x), x))

 (2)
> 

sys := rifsimp([PDE1, PDE2]);

table( [( Solved ) = [diff(diff(diff(eta(t, x), t), t), x) = -u(t, x)*(diff(u(t, x), x))-(diff(u(t, x), t))+(1/6)*(diff(diff(diff(u(t, x), t), x), x))-(diff(eta(t, x), x)), diff(diff(diff(u(t, x), x), x), x) = 24*eta(t, x)*(diff(u(t, x), x))+48*(diff(eta(t, x), x))*u(t, x)+48*(diff(eta(t, x), t))+24*(diff(u(t, x), x))] ] )

 (3)
> 

id := initialdata(sys[Solved]);

table( [( Finite ) = [], ( Infinite ) = [eta(t, x[0]) = _F1(t), (D[2](eta))(t[0], x) = _F2(x), (D[1, 2](eta))(t[0], x) = _F3(x), u(t, x[0]) = _F4(t), (D[2](u))(t, x[0]) = _F5(t), (D[2, 2](u))(t, x[0]) = _F6(t)] ] )

 (4)
> 

sols := rtaylor(sys[Solved], id, point=[t = 0, x = 0], order = 3);

[eta(t, x) = _F1(0)+(D(_F1))(0)*t+_F2(0)*x+(1/2)*((D@@2)(_F1))(0)*t^2+_F3(0)*t*x+(1/2)*(D(_F2))(0)*x^2+(1/6)*((D@@3)(_F1))(0)*t^3+(1/2)*(-_F4(0)*_F5(0)-(D(_F4))(0)+(1/6)*(D(_F6))(0)-_F2(0))*t^2*x+(1/2)*(D(_F3))(0)*t*x^2+(1/6)*((D@@2)(_F2))(0)*x^3, u(t, x) = _F4(0)+(D(_F4))(0)*t+_F5(0)*x+(1/2)*((D@@2)(_F4))(0)*t^2+(D(_F5))(0)*t*x+(1/2)*_F6(0)*x^2+(1/6)*((D@@3)(_F4))(0)*t^3+(1/2)*((D@@2)(_F5))(0)*t^2*x+(1/2)*(D(_F6))(0)*t*x^2+(1/6)*(24*_F1(0)*_F5(0)+48*_F2(0)*_F4(0)+48*(D(_F1))(0)+24*_F5(0))*x^3]

 (5)
> 

assign(sols);
> 

simplify(PDE1);

((D@@2)(_F1))(0)*t+_F3(0)*x+(1/2)*((D@@3)(_F1))(0)*t^2-t*(_F4(0)*_F5(0)+_F2(0)+(D(_F4))(0)-(1/6)*(D(_F6))(0))*x+(1/2)*(D(_F3))(0)*x^2+(1/2)*(D(_F5))(0)*t+(1/2)*_F6(0)*x+(1/4)*((D@@2)(_F5))(0)*t^2+(1/2)*(D(_F6))(0)*t*x+6*((_F1(0)+1)*_F5(0)+2*_F2(0)*_F4(0)+2*(D(_F1))(0))*x^2+(1/2)*(_F1(0)+(D(_F1))(0)*t+_F2(0)*x+(1/2)*((D@@2)(_F1))(0)*t^2+_F3(0)*t*x+(1/2)*(D(_F2))(0)*x^2+(1/6)*((D@@3)(_F1))(0)*t^3+(1/2)*(-_F4(0)*_F5(0)-(D(_F4))(0)+(1/6)*(D(_F6))(0)-_F2(0))*t^2*x+(1/2)*(D(_F3))(0)*t*x^2+(1/6)*((D@@2)(_F2))(0)*x^3)*(_F5(0)+(D(_F5))(0)*t+_F6(0)*x+(1/2)*((D@@2)(_F5))(0)*t^2+(D(_F6))(0)*t*x+(1/2)*(24*_F1(0)*_F5(0)+48*_F2(0)*_F4(0)+48*(D(_F1))(0)+24*_F5(0))*x^2)-(1/2)*_F1(0)*_F5(0)-_F2(0)*_F4(0)+(_F2(0)+_F3(0)*t+(D(_F2))(0)*x+(1/2)*(-_F4(0)*_F5(0)-(D(_F4))(0)+(1/6)*(D(_F6))(0)-_F2(0))*t^2+(D(_F3))(0)*t*x+(1/2)*((D@@2)(_F2))(0)*x^2)*(_F4(0)+(D(_F4))(0)*t+_F5(0)*x+(1/2)*((D@@2)(_F4))(0)*t^2+(D(_F5))(0)*t*x+(1/2)*_F6(0)*x^2+(1/6)*((D@@3)(_F4))(0)*t^3+(1/2)*((D@@2)(_F5))(0)*t^2*x+(1/2)*(D(_F6))(0)*t*x^2+(1/6)*(24*_F1(0)*_F5(0)+48*_F2(0)*_F4(0)+48*(D(_F1))(0)+24*_F5(0))*x^3)

 (6)
> 

simplify(PDE2);

((D@@2)(_F4))(0)*t+(D(_F5))(0)*x+(1/2)*((D@@3)(_F4))(0)*t^2+((D@@2)(_F5))(0)*t*x+(1/2)*(D(_F6))(0)*x^2+(_F4(0)+(D(_F4))(0)*t+_F5(0)*x+(1/2)*((D@@2)(_F4))(0)*t^2+(D(_F5))(0)*t*x+(1/2)*_F6(0)*x^2+(1/6)*((D@@3)(_F4))(0)*t^3+(1/2)*((D@@2)(_F5))(0)*t^2*x+(1/2)*(D(_F6))(0)*t*x^2+(1/6)*(24*_F1(0)*_F5(0)+48*_F2(0)*_F4(0)+48*(D(_F1))(0)+24*_F5(0))*x^3)*(_F5(0)+(D(_F5))(0)*t+_F6(0)*x+(1/2)*((D@@2)(_F5))(0)*t^2+(D(_F6))(0)*t*x+(1/2)*(24*_F1(0)*_F5(0)+48*_F2(0)*_F4(0)+48*(D(_F1))(0)+24*_F5(0))*x^2)-_F4(0)*_F5(0)+_F3(0)*t+(D(_F2))(0)*x-(1/2)*t^2*(_F4(0)*_F5(0)+_F2(0)+(D(_F4))(0)-(1/6)*(D(_F6))(0))+(D(_F3))(0)*t*x+(1/2)*((D@@2)(_F2))(0)*x^2

 (7)

NULL

Download MinWorkingExa.mw

Thanks a lot in advance for any help or suggestions.

Kind regards,

DDe

How to evaluate an expression for multiple values...

Asked by: Debdp07 20
vector
April 06 2024
0  3

Suppose I have an expression like the following:

h(t, x) :=  (m*t^2 + 6*t - 2*x)^2/(36*g*t^2)

I want to calculate multiple values of t in a single expression. Say, for t:= 1,5,10,15,20. I want to evaluate h(t,x) in vector form. so that I can extract for each t. How to write it?

 

How to define a matrix of partial differential ope...

Asked by: Debdp07 20
vector differentiation operator
March 27 2024
0  1

How do we define a matrix or a vector of the partial differential operator?
 

How to compute right eigen vector of a matrix in ...

Asked by: Debdp07 20
eigenvector
March 26 2024
1  6

How to evaluate the right eigenvector of a given matrix in maple?

Commutator table for infinitesimals...

Asked by: Debdp07 20
pdetools commutator infinitesimal
March 23 2024
1  1

How to obtain the commutator table of the infinitesimal generators?
Can we obtain a commutator table by using any inbuild command in pdetools?

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