@Mac Dude Please see https://apps.apple.com/us/app/maple-companion/id1466659419?ls=1 and/or https://play.google.com/store/apps/details?id=com.maplesoft.companion. Both are linked from our product page. In summary: iOS 8.0 or higher, Android 5.0 or higher.

@nm The equivalent to Manipulate would be the Explore command. But it's not covered by the translator. I agree that it's unrealistic to expect such a tool to translate higher commands.

@sand15 That sounds strange. I'm not familiar with R, but typically only the interpreter (apparently Rscript in this case) needs to be executable. That's at least the way maple and xmaple work. I'm often launching xmaple with several worksheets from the command line, and none of the mw files needs to be executable.

For me it works as expected. Could you upload a screenshot that shows the effect?

What is the value of interface(prettyprint) on your system? The default would be 3.

There are several typos (sinh* and cosh* and missing parentheses) in your definition of b.

@nm The entry point for these examples in the documentation is Chapter 11.4 (subsection "The Preprocessor and Structured Source Files") of the ProgrammingGuide, I think.

@Carl Love Side remark: these polynomials are known as ChebyshevT in Maple.

@Winterstorm If you enter "plot a line" (or similar) in Maple's search box, the 2nd hit is a page that is titled HowDoI,PlotAStraightLine. Does that help you getting started?

There is typically no need to use any external search engine (such as Google) for beginners' tasks and questions.

This is actually quite easy, but requires just some reading, e.g ?examples,LinearAlgebraMigration. Therefore, I won't go into the details now, but if anything remains unclear, feel free to ask.

See worksheet  modernVersion_TR.mw which was saved in Maple 2017. I also fixed some trivial things ("with" command in its own execution group, and replaced outdated keyword "od" by "end do").

@JD423 Your worksheet is running well for me, without any error messages. Did you update Maple to 2019.1 already?

@sand15 Your version is the correct one. Also, I can reproduce the error messages. It seems the option descriptions at ?GlobalOptimization,General,Options are wrong or at least misleading. I think they require the full Optimus suite as described at https://www.maplesoft.com/products/thirdparty/main.aspx, but I might be wrong. Anyways, I'll submit an SCR about correcting that documentation page.

For the Global Optimization Toolbox, please use the options listed at ?GlobalSolve only. Since your optimization call succeeds both with method=ego and method=diffevol, there is probably no need to try other methods and options - apart from curiosity, which is okay. ;-)

@nm In my experience, manual entry of formulae (beyond a certain length) leads to more errors than using a command for the same purpose. But it's your decision, so I'm fine with that.

I did not interpret t as time here, but as theta (just like you did). In fact, you should write theta instead. ;-)

Side comment, unrelated to the error message: is your definition of the Laplacian correct?

I would suggest

lap:=VectorCalculus:-Laplacian(u(r,z,t),'cylindrical'[r,z,t]);

Even if you drop the dependency on t afterwards:

subs(diff(u(r,z,t),t,t)=0,lap);

it is different from what you assigned to lap (manually): a factor of 1/r^2 is missing from the 2nd derivative w.r.t. z.

@tomleslie Side remark: those PDF files are available in our Documentation Center.

@nm Yes, but keep in mind that it may not be possible to replace it by 0 afterwards - it simply depends on the IVP.

Also, please submit an SCR on the error message. Thanks!