Good Morning Guys,

Please, could somebody help me with my problem in Maple?

The expression y' = y^4 * cos(x) + y*tan(x) with start-value y(0) = 0.5 has the solution of 1/root(cos(x)^2 * 8*cos(x)-3 * sin(x),3).

If I try to solve it with this method dgl_2 := diff(y(x), x) = y(x)^4*cos(x) + y(x)*tan(x) I don't get the right solution. Is it possible to solve this expression with a Tutor app? step by step? If yes I would so happy to tell me how I can do that. 

Thanks a lot and I wish you all a nice sunday and stay safe.

Is there a way to importing cell values as text, and not numbers, when the cell is formatted as a text?

As far as I can see, a cell with the value "1" is always import as "1.0" in ExcelTools, regardless if the cell is formatted as text or something else in Excel.

Writing '1 in the Excel cell however leads to a text import in Maple, and will give "1", not "1.0".

There is one more thing that is strange in Excel. Even if the cell is formatted as a text, or the cell content is with a ' before the number, Excel will allow a calculation with that value. Text value 4 will give 5, if added 1.

Dear maple user how to rectify the error  in solving the coupled differential equation using homotropy perturbation method and direct differentiations and compare the two result by plotting the graphs :

restart:
with(PDEtools):
L:=4:Nb:=1:Nt:=1:#k is some constant
f(x):=sum((p^i)*f[i](x),i=0..L):  
g(x):=sum((p^i)*g[i](x),i=0..L):
HO1:=(1-p)*(diff(f(x),x,x))+p*(((1/x)*(diff(f(x),x))+Nb*((diff(f(x),x))*diff(g(x),x))+Nt(diff(f(x),x)^2))):                                                   
expand(%):                                                                                                                                          
collect(%,p):
HO2:=(1-p)*(diff(g(x),x,x))+p*(((1/x)*(diff(g(x),x))+(Nb/Nt)*((diff(f(x),x,x))+(1/x)*diff(f(x),x)))):                                                                                        
expand(%):                                                                                                               
collect(%,p):                                                                                                              
HO2:=%:                                                                                                                 
declare(f(x),g(x),prime=x): 
for i from 0 to L+1 do equa[1][i]:=coeff(HO1,p,i)=0 end  do:                                     
for i from 0 to L+1 do equa[2][i]:=coeff(HO2,p,i)=0 end  do:           
con[1][0]:=f[0](0)=(h(x)/64),(D(f[0]))(0)=0:                                                                                                                  
con[2][0]:=g[0](0)=-(k-h(x)^2/4),(D(g[0]))(0)=0: 
for j from 1 to L do:                                                                                                    
 con[1][j]:=f[j](0)=h(x),(D(f[j]))(0)=0:                                                                           
 con[2][j]:=g[j](0)=h(x),(D(g[j]))(0)=0:                                                                         
 end do;
for i from 0 to L do;                                                                                                     
dsolve({equa[1][i],con[1][i]},f[i](x));                                                                              
f[i](x):=rhs(%);                                                                                                         
 f[i](x):=evalf(%);                                                                                                          
dsolve({equa[2][i],con[2][i]},g[i](x));                                                                            
 g[i](x):=rhs(%);                                                                                                          
g[i](x):=evalf(%);                                                                                                         
end do; 
for u from 0 to L-1 do:                                                                                                
  f[u](_z1):subs(x=_z1,f[u](x));                                                                                    
 g[u](_z1):subs(x=_z1,g[u](x));                                                                                  
 f[u+1](x):=value(simplify(f[u+1](x)));                                                                         
   f[u+1](x):=simplify(%);                                                                                               
g[u+1](x):=value(simplify(g[u+1](x)));                                                                        
g[u+1](x):=simplify(%);                                                                                                
end do:  
f(x):=evalf(simplify(sum(f[n](x),n=0..L))); 
#### direct calculations                      
#direct solve the two equations in terms of f(x) and g(x) for h(x)=e^x where Nt and Nb #are parameters and its takes some values example 1,1
restart:
with(DETools):
with(plots):
with(IntegrationTools):
Nb:=1:Nt:=1:h(x):=e^x:
Eq1 := (diff(f(x),x,x))+(((1/x)*(diff(f(x),x))+Nb*((diff(f(x),x))*diff(g(x),x))+Nt(diff(f(x),x)^2))):   
Eq2 := (diff(g(x),x,x))+(((1/x)*(diff(g(x),x))+(Nb/Nt)*((diff(f(x),x,x))+(1/x)*diff(f(x),x)))):       

Cd1 := f(0) = h(x), (D(f))(0) = 0:
dsys := {Cd1, Eq1}:
dsol := dsolve(dsys, numeric, output = operator):
#dsol(.1):
plots[odeplot](dsol, [x, diff(f(x), x$1)], 0 .. 5, color = green):
Cd2 := g(0) = h(x), (D(g))(0) = 0:
dsys := {Cd1, Cd2, Eq1, Eq2}:
dsol := dsolve(dsys, numeric, output = operator):
plots[odeplot](dsol, [x, f(x)], 0 .. 5, color = red);
plots[odeplot](dsol, [x,g(x)], 0 .. 5, color = black);
                                                                         

This is the default style about the group of DrawSubgroupLattice:

DrawSubgroupLattice(SymmetricGroup(4))

But I hope to label the DrawSubgroupLattice with the order of the subgroup but not the default index, is it possible? I can get the order with this code:

GroupOrder~(SubgroupLattice(SymmetricGroup(4), output = list))

But I don't know how to label it into the node...

How to replace 7th-row(second last) of the matrix H116 (see eq. (14)) with the 1st-row of the matrix H16 (see eq. (15)) and create a new matrix of size same as H116?

matrixop.mw

I've run into a problem.  I'm trying to enter multiple quotes in a string.

for example

a:=[["{"test1","test2"}"],["{test3","test4"}"]]
                

How to plot F(R) for R=0..100 ?

Maple 2021 sheet attached.

Download How_to_plot_IR.mw

plot(F(R), R = 0 .. 100)

Hi! Can anyone show me a quick example of a procedure with local and global variables?!? It seems that i'm not getting the hang of it, because i keep receiving "unable to parse" messages. 

pointplot works with units, textplot apparently doesn't

Download Textplot.mw

restart;
read "C:/Program Files/Maple 2020/lib/ASP v4.6.3.txt";

    DESOLVII_V5R5 (March 2011)(c), by Dr. K. T. Vu, Dr. J.

       Carminati and Miss G. Jefferson

The authors kindly request that this software be referenced, if

   it is used in work eventuating in a publication, by citing

   the article:

  K.T. Vu, G.F. Jefferson, J. Carminati, Finding generalised

     symmetries of differential equations

  using the MAPLE package DESOLVII,Comput. Phys. Commun. 183

     (2012) 1044-1054.

                         -------------

 ASP (November 2011), by Miss G. Jefferson and Dr. J. Carminati

The authors kindly request that this software be referenced, if

   it is used in work eventuating in a publication, by citing

   the article:

     G.F. Jefferson, J. Carminati, ASP: Automated Symbolic

        Computation of Approximate Symmetries

   of Differential Equations, Comput. Phys. Comm. 184 (2013)

      1045-1063.

 [classify, comtab, defeqn, deteq_split, extgenerator, gendef,

   genvec, icde_cons, liesolve, mod_eq, originalVar, pdesolv,

   reduceVar, reduceVargen, symmetry, varchange]

                     ASP := _m2229977204928

with(ASP);
       [ApproximateSymmetry, applygenerator, commutator]

with(desolv);
 [classify, comtab, defeqn, deteq_split, extgenerator, gendef,

   genvec, icde_cons, liesolve, mod_eq, originalVar, pdesolv,

   reduceVar, reduceVargen, symmetry, varchange]

read "C:/Program Files/Maple 2020/lib/FracSym.v1.16.txt";
FracSym (April 2013), by Miss G. Jefferson and Dr. J. Carminati

The authors kindly request that this software be referenced, if

   it is used in work eventuating in a publication, by citing:

   G.F. Jefferson, J. Carminati, FracSym: Automated symbolic

      computation of Lie symmetries

   of fractional differential equations, Comput. Phys. Comm.

      Submitted May 2013.

with(FracSym);
[Rfracdiff, TotalD, applyFracgen, evalTotalD, expandsum, fracDet,

  fracGen, split]

Rfracdiff(u(x, t), t, alpha);
                          alpha          
                       D[t     ](u(x, t))

Rfracdiff(u(x, t) &* v(x, t), t, alpha);
infinity                                                          
 -----                                                            
  \                                                               
   )                          (alpha - n)              n          
  /     binomial(alpha, n) D[t           ](u(x, t)) D[t ](v(x, t))
 -----                                                            
 n = 0                                                            

Rfracdiff(v(x, t) &* u(x, t), t, alpha);
infinity                                                          
 -----                                                            
  \                                                               
   )                          (alpha - n)              n          
  /     binomial(alpha, n) D[t           ](v(x, t)) D[t ](u(x, t))
 -----                                                            
 n = 0                                                            

Rfracdiff(u(x, t) &* v(x, t), t, 2);
     /  2         \                                        
     | d          |             / d         \ / d         \
     |---- u(x, t)| v(x, t) + 2 |--- u(x, t)| |--- v(x, t)|
     |   2        |             \ dt        / \ dt        /
     \ dt         /                                        

                  /  2         \
                  | d          |
        + u(x, t) |---- v(x, t)|
                  |   2        |
                  \ dt         /

TotalD(xi[x](x, y), x, 2);
                          2              
                       D[x ](xi[x](x, y))

evalTotalD([%], [y], [x]);
     [     /  2             \     /   2              \    
     [   2 | d              |     |  d               |    
     [y_x  |---- xi[x](x, y)| + 2 |------ xi[x](x, y)| y_x
     [     |   2            |     \ dy dx            /    
     [     \ dy             /                             

                                   /  2             \]
               / d             \   | d              |]
        + y_xx |--- xi[x](x, y)| + |---- xi[x](x, y)|]
               \ dy            /   |   2            |]
                                   \ dx             /]

fde1 := Rfracdiff(u(x, t), t, alpha) = -u(x, t)*diff(u(x, t), x) - diff(u(x, t), x, x) - diff(u(x, t), x, x, x) - diff(u(x, t), x, x, x, x);
                alpha                      / d         \
     fde1 := D[t     ](u(x, t)) = -u(x, t) |--- u(x, t)|
                                           \ dx        /

          /  2         \   /  3         \   /  4         \
          | d          |   | d          |   | d          |
        - |---- u(x, t)| - |---- u(x, t)| - |---- u(x, t)|
          |   2        |   |   3        |   |   4        |
          \ dx         /   \ dx         /   \ dx         /

deteqs := fracDet([fde1], [u], [x, t], 2);
  Intervals/values considered for the fractional derivative/s:

                     {0 < alpha, alpha < 1}

          [                                           
          [                                           
          [[  2                                       
          [[ d                     d                  
deteqs := [[---- eta[u](x, t, u), --- xi[t](x, t, u),
          [[   2                   du                 
          [[ du                                       

   d                   d                   d                  
  --- xi[t](x, t, u), --- xi[t](x, t, u), --- xi[x](x, t, u),
   du                  dx                  du                 

                        2                    2                  
   d                   d                    d                   
  --- xi[x](x, t, u), ---- xi[t](x, t, u), ---- xi[t](x, t, u),
   du                    2                    2                 
                       du                   du                  

    2                                              
   d                         / d                \  
  ---- xi[t](x, t, u), alpha |--- xi[x](x, t, u)|,
     2                       \ dt               /  
   du                                              

                                2                  
        / d                \   d                   
  alpha |--- xi[x](x, t, u)|, ---- xi[t](x, t, u),
        \ du               /     2                 
                               du                  

    2                    2                    3                  
   d                    d                    d                   
  ---- xi[x](x, t, u), ---- xi[x](x, t, u), ---- xi[t](x, t, u),
     2                    2                    3                 
   du                   du                   du                  

    3                    3                    4                  
   d                    d                    d                   
  ---- xi[t](x, t, u), ---- xi[x](x, t, u), ---- xi[t](x, t, u),
     3                    3                    4                 
   du                   du                   du                  

    4                  
   d                   
  ---- xi[x](x, t, u),
     4                 
   du                  

     /  2                \                           
     | d                 |     / d                \  
  -6 |---- xi[t](x, t, u)| - 3 |--- xi[t](x, t, u)|,
     |   2               |     \ dx               /  
     \ dx                /                           

        / d                \     / d                \  
  alpha |--- xi[t](x, t, u)| - 4 |--- xi[x](x, t, u)|,
        \ dt               /     \ dx               /  

  / d                \              
  |--- xi[t](x, t, u)| (alpha - 1),
  \ du               /              

                               /   2                 \  
     / d                \      |  d                  |  
  -3 |--- xi[t](x, t, u)| - 12 |------ xi[t](x, t, u)|,
     \ du               /      \ dx du               /  

        / d                \              
  alpha |--- xi[t](x, t, u)| (alpha - 1),
        \ du               /              

        / d                \              
  alpha |--- xi[x](x, t, u)| (alpha - 1),
        \ du               /              

     /  2                \      /   3                  \  
     | d                 |      |  d                   |  
  -3 |---- xi[t](x, t, u)| - 12 |------- xi[t](x, t, u)|,
     |   2               |      |      2               |  
     \ du                /      \ dx du                /  

        /   2                 \              
        |  d                  |              
  alpha |------ xi[t](x, t, u)| (alpha - 1),
        \ du dt               /              

        /   2                 \              
        |  d                  |              
  alpha |------ xi[x](x, t, u)| (alpha - 1),
        \ du dt               /              

        /  2                \              
        | d                 |              
  alpha |---- xi[t](x, t, u)| (alpha - 1),
        |   2               |              
        \ du                /              

        /  2                \              
        | d                 |              
  alpha |---- xi[x](x, t, u)| (alpha - 1),
        |   2               |              
        \ dt                /              

        /  2                \              
        | d                 |              
  alpha |---- xi[x](x, t, u)| (alpha - 1),
        |   2               |              
        \ du                /              

   /  3                \     /   4                  \  
   | d                 |     |  d                   |  
  -|---- xi[t](x, t, u)| - 4 |------- xi[t](x, t, u)|,
   |   3               |     |      3               |  
   \ du                /     \ dx du                /  
                          /   2                 \
 / d                \     |  d                  |
-|--- xi[t](x, t, u)| - 4 |------ xi[t](x, t, u)|
 \ du               /     \ dx du               /

           / d                \     / d                \
   + alpha |--- xi[t](x, t, u)|, -4 |--- xi[x](x, t, u)|
           \ du               /     \ du               /

       /  2                 \      /   2                 \  
       | d                  |      |  d                  |  
   + 4 |---- eta[u](x, t, u)| - 16 |------ xi[x](x, t, u)|,
       |   2                |      \ dx du               /  
       \ du                 /                               
                            /  2                 \
   / d                \     | d                  |
-3 |--- xi[x](x, t, u)| + 3 |---- eta[u](x, t, u)|
   \ du               /     |   2                |
                            \ du                 /

        /   2                 \     /  3                \
        |  d                  |     | d                 |
   - 12 |------ xi[x](x, t, u)|, -4 |---- xi[t](x, t, u)|
        \ dx du               /     |   3               |
                                    \ dx                /

                                /  2                \  
       / d                \     | d                 |  
   - 2 |--- xi[t](x, t, u)| - 3 |---- xi[t](x, t, u)|,
       \ dx               /     |   2               |  
                                \ dx                /  
   /   2                 \      /   3                  \
   |  d                  |      |  d                   |
-6 |------ xi[t](x, t, u)| - 12 |------- xi[t](x, t, u)|
   \ dx du               /      |   2                  |
                                \ dx  du               /

       / d                \  
   - 2 |--- xi[t](x, t, u)|,
       \ du               /  

        / d                \                          
  alpha |--- xi[t](x, t, u)| (alpha - 1) (alpha - 2),
        \ du               /                          
   /  2                \     /  3                 \
   | d                 |     | d                  |
-6 |---- xi[x](x, t, u)| + 6 |---- eta[u](x, t, u)|
   |   2               |     |   3                |
   \ du                /     \ du                 /

        /   3                  \     /   3                  \
        |  d                   |     |  d                   |
   - 24 |------- xi[x](x, t, u)|, -3 |------- xi[t](x, t, u)|
        |      2               |     |      2               |
        \ dx du                /     \ dx du                /

       /    4                  \   /  2                \         
       |   d                   |   | d                 |        /
   - 6 |-------- xi[t](x, t, u)| - |---- xi[t](x, t, u)|, alpha |
       |   2   2               |   |   2               |        \
       \ dx  du                /   \ du                /         

   d                \     / d                \
  --- xi[t](x, t, u)| - 3 |--- xi[x](x, t, u)|
   dt               /     \ dx               /

       /   2                  \     /  2                \  
       |  d                   |     | d                 |  
   + 4 |------ eta[u](x, t, u)| - 6 |---- xi[x](x, t, u)|,
       \ dx du                /     |   2               |  
                                    \ dx                /  

        /   2                 \                          
        |  d                  |                          
  alpha |------ xi[t](x, t, u)| (alpha - 1) (alpha - 2),
        \ du dt               /                          

        /  2                \                          
        | d                 |                          
  alpha |---- xi[t](x, t, u)| (alpha - 1) (alpha - 2),
        |   2               |                          
        \ du                /                          
   /   2                 \     /   3                  \
   |  d                  |     |  d                   |
-3 |------ xi[t](x, t, u)| - 6 |------- xi[t](x, t, u)|
   \ dx du               /     |   2                  |
                               \ dx  du               /

                                                              /
     / d                \         / d                \        |
   - |--- xi[t](x, t, u)| + alpha |--- xi[t](x, t, u)|, alpha |
     \ du               /         \ du               /        |
                                                              \
       /  2                \     /   2                  \
       | d                 |     |  d                   |
-alpha |---- xi[t](x, t, u)| + 2 |------ eta[u](x, t, u)|
       |   2               |     \ du dt                /
       \ dt                /                             

     /  2                \\   /  3                \
     | d                 ||   | d                 |
   + |---- xi[t](x, t, u)||, -|---- xi[x](x, t, u)|
     |   2               ||   |   3               |
     \ dt                //   \ du                /

       /   4                  \   /  4                 \  
       |  d                   |   | d                  |  
   - 4 |------- xi[x](x, t, u)| + |---- eta[u](x, t, u)|,
       |      3               |   |   4                |  
       \ dx du                /   \ du                 /  
                          /  2                \
   / d                \   | d                 |
-u |--- xi[t](x, t, u)| - |---- xi[t](x, t, u)|
   \ dx               /   |   2               |
                          \ dx                /

     /  3                \   /  4                \  
     | d                 |   | d                 |  
   - |---- xi[t](x, t, u)| - |---- xi[t](x, t, u)|,
     |   3               |   |   4               |  
     \ dx                /   \ dx                /  

        /   3                  \                          
        |  d                   |                          
  alpha |------- xi[t](x, t, u)| (alpha - 1) (alpha - 2),
        |      2               |                          
        \ du dt                /                          

        /   3                  \                          
        |  d                   |                          
  alpha |------- xi[t](x, t, u)| (alpha - 1) (alpha - 2),
        |   2                  |                          
        \ du  dt               /                          

        /  3                \                          
        | d                 |                          
  alpha |---- xi[t](x, t, u)| (alpha - 1) (alpha - 2),
        |   3               |                          
        \ du                /                          
                            /  2                 \
   / d                \     | d                  |
-3 |--- xi[x](x, t, u)| + 3 |---- eta[u](x, t, u)|
   \ du               /     |   2                |
                            \ du                 /

       /   2                 \      /   3                   \
       |  d                  |      |  d                    |
   - 9 |------ xi[x](x, t, u)| + 12 |------- eta[u](x, t, u)|
       \ dx du               /      |      2                |
                                    \ dx du                 /

        /   3                  \                              
        |  d                   |        / d                \  
   - 18 |------- xi[x](x, t, u)|, alpha |--- xi[t](x, t, u)| u
        |   2                  |        \ du               /  
        \ dx  du               /                              

       /   3                  \     /   4                  \
       |  d                   |     |  d                   |
   - 3 |------- xi[t](x, t, u)| - 4 |------- xi[t](x, t, u)|
       |   2                  |     |   3                  |
       \ dx  du               /     \ dx  du               /

       /   2                 \                                  
       |  d                  |   / d                \          /
   - 2 |------ xi[t](x, t, u)| - |--- xi[t](x, t, u)| u, alpha |
       \ dx du               /   \ du               /          \

                          /  3                \
   d                \     | d                 |
  --- xi[t](x, t, u)| - 4 |---- xi[x](x, t, u)|
   dt               /     |   3               |
                          \ dx                /

       /  2                \                         
       | d                 |     / d                \
   - 3 |---- xi[x](x, t, u)| - 2 |--- xi[x](x, t, u)|
       |   2               |     \ dx               /
       \ dx                /                         

       /   3                   \     /   2                  \  
       |  d                    |     |  d                   |  
   + 6 |------- eta[u](x, t, u)| + 3 |------ eta[u](x, t, u)|,
       |   2                   |     \ dx du                /  
       \ dx  du                /                               
 /  2                \   /  3                 \
 | d                 |   | d                  |
-|---- xi[x](x, t, u)| + |---- eta[u](x, t, u)|
 |   2               |   |   3                |
 \ du                /   \ du                 /

       /   3                  \     /   4                   \
       |  d                   |     |  d                    |
   - 3 |------- xi[x](x, t, u)| + 4 |------- eta[u](x, t, u)|
       |      2               |     |      3                |
       \ dx du                /     \ dx du                 /

       /    4                  \              /
       |   d                   |              |
   - 6 |-------- xi[x](x, t, u)|, (alpha - 1) |
       |   2   2               |              |
       \ dx  du                /              \
       /  3                \     /   3                   \
       | d                 |     |  d                    |
-alpha |---- xi[t](x, t, u)| + 3 |------- eta[u](x, t, u)|
       |   3               |     |      2                |
       \ dt                /     \ du dt                 /

       /  3                \\                               
       | d                 ||           / d                \
   + 2 |---- xi[t](x, t, u)|| alpha, -u |--- xi[x](x, t, u)|
       |   3               ||           \ du               /
       \ dt                //                               

     /  2                 \     /   2                 \
     | d                  |     |  d                  |
   + |---- eta[u](x, t, u)| - 2 |------ xi[x](x, t, u)|
     |   2                |     \ dx du               /
     \ du                 /                            

       /   3                   \     /   3                  \
       |  d                    |     |  d                   |
   + 3 |------- eta[u](x, t, u)| - 3 |------- xi[x](x, t, u)|
       |      2                |     |   2                  |
       \ dx du                 /     \ dx  du               /

       /   4                  \     /    4                   \  
       |  d                   |     |   d                    |  
   - 4 |------- xi[x](x, t, u)| + 6 |-------- eta[u](x, t, u)|,
       |   3                  |     |   2   2                |  
       \ dx  du               /     \ dx  du                 /  
   / d                \                  
-u |--- xi[x](x, t, u)| + eta[u](x, t, u)
   \ dx               /                  

                                      /   2                  \
           / d                \       |  d                   |
   + alpha |--- xi[t](x, t, u)| u + 2 |------ eta[u](x, t, u)|
           \ dt               /       \ dx du                /

     /  2                \     /   3                   \
     | d                 |     |  d                    |
   - |---- xi[x](x, t, u)| + 3 |------- eta[u](x, t, u)|
     |   2               |     |   2                   |
     \ dx                /     \ dx  du                /

     /  3                \     /   4                   \
     | d                 |     |  d                    |
   - |---- xi[x](x, t, u)| + 4 |------- eta[u](x, t, u)|
     |   3               |     |   3                   |
     \ dx                /     \ dx  du                /

                             [                          
                             [                          
     /  4                \]  [                          
     | d                 |]  [                          
   - |---- xi[x](x, t, u)|], [xi[t](x, 0, u) = 0, (Diff(
     |   4               |]  [                          
     \ dx                /]  [                          

                                   / d                 \
  eta[u](x, t, u), t $ alpha)) + u |--- eta[u](x, t, u)|
                                   \ dx                /

       /    / d                            \\
   - u |Diff|--- eta[u](x, t, u), t $ alpha||
       \    \ du                           //

     /  3                 \   /  4                 \
     | d                  |   | d                  |
   + |---- eta[u](x, t, u)| + |---- eta[u](x, t, u)|
     |   3                |   |   4                |
     \ dx                 /   \ dx                 /

                             /infinity                             
                             | -----                               
     /  2                 \  |  \                                  
     | d                  |  |   )    /    1   /                   
   + |---- eta[u](x, t, u)|, |  /     |- ----- |binomial(alpha, n)
     |   2                |  | -----  \  n + 1 \                   
     \ dx                 /  \ n = 3                               

  /   (alpha - n)              (n + 1)                       
  |D[t           ](u(x, t)) D[t       ](xi[t](x, t, u)) alpha
  \                                                          

        (alpha - n)              (n + 1)                   
   - D[t           ](u(x, t)) D[t       ](xi[t](x, t, u)) n

        (alpha - n) / d         \    n                   
   + D[t           ]|--- u(x, t)| D[t ](xi[x](x, t, u)) n
                    \ dx        /                        

                                                          \   /Sum(
                                                          |   |    
                                                          |   |    
        (alpha - n) / d         \    n                 \\\|   |    
   + D[t           ]|--- u(x, t)| D[t ](xi[x](x, t, u))|||| + |    
                    \ dx        /                      ///|   |    
                                                          /   \    

                     /    / d                        \\
  binomial(alpha, n) |Diff|--- eta[u](x, t, u), t $ n||
                     \    \ du                       //

     (alpha - n) (u(x, t)), n = 3 .. infinity)\]  
  D[t           ]                             |]  
                                              |]  
                                              |]  
                                              |],
                                              |]  
                                              /]  

                                                              ]
                                                              ]
                                                              ]
                                                              ]
  [xi[x](x, t, u), xi[t](x, t, u), eta[u](x, t, u)], [x, t, u]]
                                                              ]
                                                              ]

sol1 := pdesolv(expand(deteqs[1]), deteqs[3], deteqs[4]);
Error, (in desolv/lderivx) cannot determine if this expression is true or false: 1 < x |C:/Program Files/Maple 2020/lib/ASP v4.6.3.txt:4312|

I don't know how to use the group produced with DirectProduct. such as

G := DirectProduct(QuaternionGroup(), CyclicGroup(3)):
DrawSubgroupLattice(G)

Or

IsNormal(CyclicGroup(2), DirectProduct(CyclicGroup(2), CyclicGroup(2)))

They all will get error information. It looks like the format is different, do I need to convert it somehow? Or is this a bug in maple?

Hi there!

I'm working on implementing a custom Modelica Library in MapleSim 2021. I have Maple 2021 installed and my software is up to date. The library I have developed is in a single file (extension ".mo") which I developed on an IDE for Modelica i.e., I did not create the library using MapleSim. During the import into MapleSim, no errors appear in the system logs. All my components and models have been imported except for an "expandable connector". It appears that the problem is with the term "expandable".

Since this expandable connector does not appear among my library components, I attempted to create a custom component using the Modelica code editor in MapleSim. However, the file cannot be saved while I prefix the term "expandable" to "connector". The software allows me to save the file with the new code after dropping the "expandable" term.

I know that expandable connectors are used by Modelica. Here are the references I used during development:

https://mbe.modelica.university/components/architectures/expandable/

Working with Expandable Connectors - Claytex

However, there does not seem to be any information on expandable connectors in MapleSim. I'd appreciate it if any of you could throw some light on why I'm not able to import this component into MapleSim and fixes/suggestions on what I might be doing wrong. If any further information on my question is required, please do let me know.

During evaluating psi0 (see eq, (7)), why we need two values of f (i.e., f,0 and f,3)? I asked one of my seniors and according to him these values are arbitrary. Can anyone explain why we need two values and why f,0 and f,3?

rwo.mw  

Hello. I will post 4 images of what I want to ask because I think it is a little difficult for me to describe it. I want to plot the energy transfer as shown in the images but I have no idea how to even start in the first place. Our system moves only on the x-axis and we give energy on the first oscillator of the first line. The only methods I know of ,are for 2 ode equations (equilibrium points, phase portraits etc). Any help would be extremely helpful.

Hi!

Somebody know how Maple computes (numerically) the values of the Z function? That is, if we run the command evalf(Z(3)), How compute Maple this number?

Many thanks in advance for your comments.