For programming, the startup region uses enter for a new line (with automatic indenting) and has other nice features for programming.

Edit: my earlier recollection that the regular code edit regions can work the same way is incorrect.

@paulmcquad To get a line segment you can use the line command in the plottools package. If you also want the endpoints, you can add pointplot commands for them. You are, however, moving away from the simplifying features of Student:-Precalculus, which means you will have to learn many of the other commands if you want things in a very specific way. For example if you want labels for the points you will need the textplot command.

How-to-plot-distance-midpoint.mw

@nilswe 

Download resistor.mw

@salim-barzani My answer above is for the syntax error in your post above. There was no indication of any other questions you had. You separately posted about the xt problem, but that post is now gone, and @janhardo's answers are about that. @Kitonum gave an answer for that, that is more general and someone suggested algsubs.

Your problem in the replacing worksheet is that in eq6 you have x*t (as @janhardo pointed out), but in your eval you have xt=Y and not x*t=Y. But here if you are going to collect x and t and solve their coefficients you don't need this substitution at all. If you really want to substitute x*t here, you need to first substitute x^2 and t^2, then (now that there are no x^2 left) substitute x=Y/t and simplify (@Kitonum's solution IIRC). In general, eval (and subs) do not work well with expressions on the left-hand side (I managed to get away with it on your earlier examples). Algsubs only works for simple cases. In the general case where you want to do substitution in the arguments of trig function you may have more difficulty.

Download replacing.mw

@salim-barzani Many commands, such as simplify, work with equations, but some do not (like coeffs here). For this reason, I usually do not have the =0 at the end of everything; then I don't get stuck like this.  Almost all Maple commands, such as solve, dsolve etc interpret an expression without =0 as though the =0 was present. Learn from this.

N-soliton1.mw

@salim-barzani Well, that is what the solve(identity,...) would have given for that set of equations and unknowns if it had worked, so it is the direct answer to your question. It also has nothing to do with the fact that there are two parameters x and t. If it doesn't work for you then you should reformulate the problem into the correct form first.

@janhardo Yikes! DEtools seems to be an old-style table-based package; I thought they had all been upgraded. The workaround would be to use DEtools[DEplot] on the two occasions you need DEtools.

@Hamza Rafiq I think your approach is correct, but I don't know how to complete it.

Download Find_Solution.mw

I see this behaviour on Maple 2024.2 on Windows 11. In fact, after ctrl-alt-delete would get me to the task manager, clicking on java to select it to kill just sent me back to the frozen Maple screen - I had to do a hardware stop of my computer. 

Since I usually start Maple by double-clicking on a preexisting workheet or using recent documents, it's hard for me so say when this started, by 2-3 weeks ago seems about right.

Great detective work on the left panel!

intersectcurves from the algcurves package can do this. In this simple case one doesn't learn much more than directly using solve, but for more complicated cases it may be useful.

Download intersectcurves.mw

I don't have MapleFlow, but frequently have the same problem in Maple. The only solution I know of is to attempt to exit the program via the window's X button. Then you are given the option to save (yes/no/cancel). Sometimes cancel will get you back to a working state, but saving and then restarting from the OS will work.

This actually finds the solution.

Download solution.mw

@vv I was careful to say "that the elimination process does not lead to any valid solutions", not that there are no solutions. Is there another way to get such a solution or did I (or Maple) make a mistake in the step-by-step elimination? 

Edit: I see it is among the solutions to 

SolveTools:-PolynomialSystem(expr2)

@selaf @Preben Alsholm's answer works also for this case:

f ≔ x -> local j; seq(x, j=1..5);

As Preben said, this only works for 1-D input. If you try this with 2D input, you get an "invalid arrow procedure" error.

@JAMET 

EllipseAnimation.mw