Here it is. Note that i+(j-1)*N was only used for the ordering of of the c[i,j](t) variables to save having the large list Vars in memory and passed to makeproc; the indexing of j11 was as in your original code and was not using i+(j-1)*N. But this is safer in the sense that if you change the ordering in Vars, the code will still work.

makeproctestnew2.mw

Although my codes are more stable in the sense I can get them working to higher N, they still lose connection to the kernel for some combinations of the task size and N, even though they do not output to the global arrays j11 and Equation, so it seems @Carl Love's conjecture is not correct, or is only part of the story. 

@C_R OK, I see you know it is in procedurelist form. I think the simplest is going to be sln(0) and look at the output. At least for an initial value problem you can enter any value, e.g., sln(-75), so long as it doesn't hit a singularity. It seems the sort of thing that infolevel[dsolve] might output, but no luck there.

Edit: If output = listprocedure, you see the variables in the output of dsolve, but perhaps changing the dsolve command is not allowed.

I have a vague recollection of having this issue, and the solution was to run the update from an administrator account (not just running as administrator from a non-administrator account).

@MaPal93 Looks OK. You need local gamma;

@MaPal93 Nice progress on making it simpler. Here is a note on using the multivariate chain rule to see some of the structure in terms of derivatives, though this may be obvious.

compact_derivatives2.mw

In 2024 I am not getting this warning. (Typesetting level is extended.)

Download warning.mw

@MaPal93 Apologies. You are right, and the expression doesn't have any of the alias in it. I must have created it out of sequence. I haven't used Veil much, so can't comment. It should be possible to use it on X_2 before differentiation, and then differentiate.

Download strange_warning_message_from_dsolve.mw

@Rio I mainly just played around trying different things. The two simplest things to note are: 

If you just want to add things up and not find some formula for the sum, use add not sum (though, against this rule the formula for f runs more slowly with add than sum, for some reason I didn't analyze).

In general, floats introduce inaccuracy, so avoid them as long as possible; just use them right ar the end. This is critical here, where in A and B you are adding ca 20,000 terms, so errors accumulate to destroy any meaningful answer (unless the terms are all of comparable magnitude).

@Carl Love Nice analysis. Vote up.

@JAMET   {a = 1.354182738 c, b = 1.149311492 c, c = c} means c can be anything, e.g., if c=1, then a = 1.354182738 and b = 1.149311492. If you choose other c values you will get other a and b values.

@JAMET I assume you are talking about the prompts from the geometry package. From the help page ?geometry:

"A simple way to set the names without being prompted is to set the environment variables _EnvHorizontalName and _EnvVerticalName to the axes names that you prefer; otherwise, Maple will prompt you to input of the name of the axes."

@MaPal93 Perhaps a version difference. Pity, since yours has italic "=0".

Download Inertform.mw

@goebeld 

if sol[2]  gives  {x=3, y=5}, then

eval(x, sol[2])  gives 3
eval(y, sol[2]) gives 5

eval(x^2+y, sol[2]) gives 14

eval([x,y], sol[2]) gives [3,5]

Note. sol[2,1] is not recommeneded because the sets do not have a specified order. Solve can give lists instead of sets using

solve([fx, fy], [x, y])

rhs(x=3) gives 3, lhs(x=3) gives x.

@vs140580 Open Maple is for working at the individual command level, e.g., calling a procedure, but if you want to use an existing worksheet file, it would be simplest to have a worksheet that reads a file that python produces, and then writes a file that python uses.

Then probably you could from within python do:

1. write a file for maple to use

2. initiate Maple by some system call from python (most languages have this, but I'm not a python user so I don't know)

3. wait until the file maple writes exists

4. read it in.

Alternatively you could run Python and Maple by turns in a batch file from your operating system.