Please use text (1D) input so that we can copy&paste it, or upload your worksheet, using the green arrow-up button of the MaplePrimes editor.

@Carl Love "I know that certain finite-difference methods are inherently unstable under certain conditions related to the relative values of the spatial spacing h and the time spacing k; I don't remember the exact formula."

That probably refers to the CFL (Courant-Friedrichs-Lewy) number. See e.g. here.

@acer Yes, that's right. The links you provided are pretty good references. A related acronym that one often encounters in the same context is FMU = Functional Mock-up Unit, which is also explained there. For an overview of the product, please see here. For the docs, see the Getting Started Guide which is also downloadable from the Documentation Center.

@acer Good point; I don't know how Cinnamon handles such files when double-clicking. In that case, the user will have to make it executable, e.g. through:

chmod 755 Maple17LinuxX86_64Installer.bin

@Murilo V In order to answer your question, one needs to reproduce the problem. Please post your complete input (either as text that can be copied and pasted, or by uloading a worksheet, using the green arrow-up button). Also, your Maple version number might be relevant.

@Markiyan Hirnyk and others: If you want to move the sqrt(2) factor to the front, the easiest solution I know is sort:

expr := 2*sin(x+Pi/4);
et := expand(expr);
sort(et);
et; # note that this works in-place!

@Joe Riel Just a side comment: the cosine of a square Matrix is well defined, and it's implemented via LinearAlgebra:-MatrixFunction. So it's not applicable to this particular question, that's right.

@amrramadaneg No idea about those cases, sorry. BTW, I guess the last term should read sinh(n*Pi*b/a), i.e. the multiplication sign is missing. Also, your second series probably should have parentheses for the exponent n-1.

@sunit Yes, that should be possible. You can utilize the Threads package. Its parallel Add command should be a good start for your loops.

@sunit Sure, here it is. My laptop has 8 GB RAM and a 2.67 GHz i7 CPU if that matters.

nonlinearx_TR.mw

@nm My guess here is that the OP meant to write ... + 194*n + ... which makes sum return a closed form.

@Carl Love Just a side note: for checking dsolve solutions, we have odetest(Sol,ODE). It also covers BVPs, IVPs, systems, series solutions, etc.. I find that easier and yet more powerful. Similarly, for PDEs there is pdetest.

@Carl Love The result can be simplified a bit further by simplify(%,wronskian);

@Gaia Well, then it was wrong in 12.0 or 12.01. There is no such bug in 12.02.

@Gaia That's right, the "Copy Special" sub-menu was introduced in Maple 15, joining the "Copy full precision" and "Copy as MathML" items. In your old version, you find the former item at the top level of the context menu.