Please call Customer Service: see "Which team should I contact?" under http://www.maplesoft.com/support/index.aspx. They can reset or regenerate your download link. Certainly you won't need to buy a new license for that reason.

There are two problems with your boundary conditions, easily corrected:

1. Replace u1(x=0,t)=u2(x=0,t) by u1(0,t)=u2(0,t). Equations in function calls are neither needed nor accepted.

2. Replace D[2](u1)(x,0)=D[2](u2)(x,0) by D[1](u1)(x,0)=D[1](u2)(x,0) to match the description in your last comment. Note that D[2] denotes the first partial derivative w.r.t. the second variable.

But even after applying those changes, I'm not getting any solution from pdsolve. I'm not sure whether it's a limitation of the routine, or something else is missing.

You installed a minor update from 2015.1 to 2015.1a, but the appended letter is not shown in the About box, that's all, and by design (the same was true for Maple 18.01a). For more information, please check the upper two entries at http://www.maplesoft.com/support/downloads/index.aspx.

The Build ID is the internal version number, and 1049007 is current. It is also displayed in the About box.

A log file should be found in your installation directory (on Windows, it's "C:\Program Files\Maple 2015" by default). Check for the latest timestamp in the filename. If you open it in a text edtor, it should give you an overview of updated files. It is notably smaller than your original install log file.

You cannot create anything with the Maple Player. But the player itself, along with the Math App(s) (or almost any interactive Maple document using embedded components) can be seen as a standalone program in the sense that it is a free download.

In order to try an additive separation ansatz for f, treat H as a PDE:

H := 1/(2*m)*diff(f(q,P,t), q)^2 = -diff(f(q,P,t),t);
sol := pdsolve(H, f(q,P,t), HINT=`+`, build);
pdetest(sol,H); # optional check

# or in two steps:
sol_ansatz := pdsolve(H, f(q,P,t), HINT=`+`);
PDEtools:-build(sol_ansatz);

The separation constant is _c3 here, and _F4 is an arbitrary function of P (the independent variable about which nothing is known).

However, I'm unsure how to interpret the second part of your question. Did you want to set p=P and Q=q?

No, that processor platform is not supported for Maple. Please see our system requirements. However, with mobile devices such as the Lumia 950, you can certainly access Math Apps in the MapleCloud.

Please see ?LinearAlgebra[Equal] and try its option 'compare' if needed.

I'm not sure why you would need that, but the exports command will work for any module:

MyModel := MapleSim:-LinkModel();
MB := MyModel:-GetMultibody();
exports(MB);

As you can see, the output of GetMultibody already gives you that info, but it is typically suppressed by ending the call with a colon, because it can be quite lengthy.
This has nothing to do with the GUI (Classic or Standard), but perhaps I misunderstood your question.

If your intention is to see the complete multibody data for a specific model, then you have to apply the GetDynEQs etc. commands to the module. Use our Multibody Analysis template as a starting point.

Please check out Format > Equation Labels > Label Display. In that dialog box, you can toggle between two Numbering Schemes and optionally provide a Numbering Prefix. I don't think your desired intermediate nesting level (between the two schemes) is available...

MOSFETs are covered. Please see the Semiconductors section in our documentation. To get an overview of MapleSim, our product pages are probably better suited than its reference documentation.

AFAIK, IGBTs and Triacs etc. are planned for a future version of the Modelica Standard Library - see this paper. MapleSim 2015 is (mostly) based on MSL 3.2.1.
It may also be possible to import add-on libraries that cover IGBTs, but I haven't searched for any such libs.

That's what kernelopts(homedir) is made for. I often use things like
currentdir(cat(kernelopts(homedir),"/some_subdirectory")).

Note that getenv("HOME") is not portable; that environment variable is undefined under Windows (if that matters to you).

This is a known problem. Please see our FAQ.

We have some MathApps that allow for interactive manipulation of certain objects (to demonstrate ideas from Math, Physics, Engineering, etc.), e.g. ?MathApps,Quadrants, to name a simple one. But if you are looking for a Dynamic Geometry System (DGS), I don't think there is anything readily available through embedded components. You might take a look at Geometry Expressions instead; see http://www.maplesoft.com/products/thirdparty/main.aspx.

See Help > What's New > User Interface > Menu updates > Help menu.

The desired representation (as a chain of inequalities) for y can be obtained like this:

sol := solve({x-y = 10, x+y < 100});
sol[2]; # select solution for y
convert(convert(sol[2],RealRange),relation);

Note that the left inequality is non-strict.