I'm not sure whether that can be achieved in Maple 2016, but Maple 2017 introduced a new option 'typesetdot' that helps here. Quoting from the Typesetting:-Settings help page:

typesetdot = true or false
Specifies whether dot notation is used in the typesetting of derivatives of univariate functions in the dot variable (see dot above). This setting is false by default and can be set to true only if the usedot setting is also true.

And here's its application to your example:

Download new_typesetdot_2017.mw

We also have a typesetprime setting now.

Yes, the name v seems to be treated incorrectly by internals of NLPSolve. As a workaround, insert

local v:

before defining that function.

Thanks for bringing this to our attention!

I have never encountered that error message, but it sounds as if it's a candidate for the new Initialization Diagnostics App in MapleSim 2017; see https://www.maplesoft.com/products/maplesim/new/

Furthermore, It's a good idea to check "Solver Diagnostics" under "Simulation Settings". This can help with pinpointing the problematic part of a model.

Ad hoc, I have no idea how to handle this (unusual) IC, but your PDE is of first order, so the method of characteristic strips is always worth a try (see ?charstrip for the background). It boils down to:

PDE := (y-u(x,y))*diff(u(x,y),x)+(u(x,y)-x)*diff(u(x,y),y) = x-y;
infolevel[pdsolve] := 3:
ans := pdsolve(PDE,HINT=strip);
pdetest(ans,PDE);

Maple hints that this may not be the most general solution (another new feature, see Help > What's New > Partial Differential Equations). Incidentally, this equation is solved in Maple 2016 already.

For MapleSim models, please visit our Model Gallery and enter "inverted pendulum" or similar terms into the search box. One hit is https://www.maplesoft.com/products/maplesim/ModelGallery/detail.aspx?id=27.

For books on MapleSim, check out https://www.maplesoft.com/books/search.aspx?keyword=MapleSim
Ideally, you're fluent in German. :-)

I'm not sure where the problem is arising: text editor, file format, or some limitation of the (rather simplistic) read command.

If you write the procedure in a Maple worksheet and then use

save test,"test.mpl";

the read call will work as expected.

However, storing procedures in external text files should no longer be necessary since Maple introduced the Code Editor a few years ago.

If you still prefer separate files, but want to keep them in one location with the worksheet(s), please take a look at the Workbook format that was introduced in Maple 2016.

There is an issue with the Intel graphics driver not being fully compatible with an update of Windows. After closing the window a handful of times, it will stop appearing and Maple will start like normal.

We have pointed out this in a support e-mail to you in late July already. ;-)

Please check out our FAQ at http://www.maplesoft.com/support/faqs/detail.aspx?sid=154247.

Please check the help page by entering ?plottools:-getdata in Maple. It's very easy to extract the data points from that structure. Exporting can then be done via the generic Export command, or (more specifically) ExcelTools:-Export and ExportMatrix (which supports various MATLAB formats).

Quoting from ?Groebner,MonomialOrders:

'matrix'(M,V) is a matrix order, where V is a list of variables and M is a list of lists of rational weights.

So you simply have to rewrite your definition of M into: M:=[[1,0],[0,1]];

The LA shortcut notation you had used is for creating Matrices, and equivalent to assigning M:=Matrix([[1,0],[0,1]]);

Please see the help page by entering ?convert,D in Maple, or visit the online help page.

There are many ways to obtain this, and your approach using indets with option 'function' is a good first step, IMHO. To proceed:

eq := diff(x(t), t) = x(t) + 1;
ief := indets(eq,'function');
remove(has, ief, 'diff');

Since dot releases (aka minor updates) typically do not introduce any new functionality, we do not document their changes as extensively as we do with the "What's New" pages for major versions.

For a summary, please see Eithne's announcement or the download page linked from there.

You supplied IBC as a set, and PDE outside that set, but pdsolve expects one set (or list) of equations. So if you define IBC as a sequence and then wrap PDE and IBC into a set (or list), pdsolve will be happy with that input.

IBC := u(-Pi,t)=u(Pi,t), (D[1](u))(-Pi, t) = (D[1](u))(Pi, t),u(x,0)=sin(x);
sol := pdsolve([PDE,IBC]);
pdetest(sol,[PDE,IBC]); # optional check

Yes, this feature was introduced in Maple 14 and has been expanded several times, just again recently. Please see ?pdsolve,boundaryconditions and - if you have the new Maple 2017 - also ?updates,Maple2017,PartialDifferentialEquations.