Take a look at the Antiderivatives tutor, accessible from the tools menu in the Tutors section. It will provide and graph antiderivatives, along with a graph of the primative. It might not be exactly what you are after, but it's a good start.

@C_R 

Again, thanks for your persistence. As before, I'll send this to a specific Maplesoft person who asked that I continue to feed these observations.

I will also suggest to Maplesoft to examine the GUI/JAVA changes that took place in the first version of Maple where this problem first arose. (I think it was in Maple 2023, but my memory isn't too clear on that.)

I've reverted to using older versions of Maple, such as Maple 2020, that don't exhibit this glitch. (I know it doesn't exist in Maple 2020.)

@C_R 

Once again I personnally thank you for your persistence. This bug irritates me no end, and I've sent a link to Maplesoft each time you've posted new data. I sure hope this puts R&D on the path to solving the mystery.

@C_R 

Thanks for these continuing investigations. Many of us know that there's a problem here, but until it can be reproduced, it probably won't be fixable. Such new data points may eventually lead to a resolution.

Yes, I can confirm I also am plagued with the bug the OP details. I often develop content in Maple 2020 to avoid this bug, that's how bad I find it. When it first appeared, I had interchanges with one of the developers about it, but the source of the bug was never traced, and it has persisted in succeeding versions of Maple. I simply learned to live with it. It would be useful, I think, to learn if this perceived bug is prevalent amongst users, or if it is just localized to a few installations of Maple.

Yes, I'm observing that also.

Check the article at the end of the following link.

https://www.maplesoft.com/Applications/Search.aspx?q=Marden%27s+theorem

Classroom Tips and Techniques: Maple Meets Marden's Theorem

(Am I the only user who finds the linking mechanism in this utility unfathomable?)

@acer 

I share Scot Gould's enthusiasm for "MakeFunction" as opposed to "unapply" but forgive him for what is perhaps an inaccuracy in nomenclature.

Scot is right for touting "MakeFunction" but acer is correct in pointing out that unapply (ugh!) has been around from the beginning.

@Rouben Rostamian  

Is it not possible to adapt finite difference schemes to non-rectangular domains? I think the coding gets a lot more difficult, but I know I've seen such FD schemes applied on non-rectangular domains.

But you are correct in stating that finite element solutions are the industry standard. It is unfortunate that Maplesoft has elected to neglect this area of numerical analysis.

@kjell 

The methodology for forming the discretization equations, and for keeping track of the variables is due to Dr. Sam Dao when he was a Maplesoft employee. I only take credit for presenting his methods in as clear a way as I could.

My approach to this problem, captured in my Advanced Engineering Math ebook, maps each unknown to a singly-indexed variable, a much more complex approach. That's why my eyes opened when I saw what Dr. Dao did. And his technique for graphing the computed data is simple and efficient.

I'm glad to have helped. And remember, if you want the worksheet, just contact me.

@C_R 

Maple does not have a numeric solver for elliptic equations, and that includes Laplaces's equation.

View the Youtube presentation: Maple-Based Numeric-Symbolic Techniques for PDE BVPs - YouTube

to see a way for coding a numeric solution. (Sorry, I just could not get the link to work properly.)

https://www.youtube.com/watch?v=k6Y7CBSzONw

If it helps, contact me and I'll provide you with the worksheet upon which the presentation is based.

I appreciate the unsolicited comment and the sentiments expressed by Dr. Guzel. He has long been a booster of that text.

However good or not that work is, I really hope that the essential message in it does not get lost: The only way to teach, learn, do the kind of math that ebook treats is with a tool like Maple. It's not enough to ram that material into students' heads with pencil-and-paper technology, shrug and say, "Oh, you can also do it with a tool like Maple."

Maple must become the instrument by which that material is met and mastered. That was the whole point of the book, and then the ebook after the book itself went out of print. To this end, I just completed bringing the original 2001 text into a collection of Maple worksheets that can be read with the Maple Player, just as it appeared in the Addison-Wesley paper text. Maplesoft and I are just beginning to envision how this readable version of the original text can be made available.

@ecterrab 

Wow! If this problem can be corrected in Maple 2023 via a Physics update package, it might fix some of the thousands of files in the AEM ebook, something I've been working on and struggling with for at least 4 years. Although the ebook is executed and saved in each new version of Maple, many of the files were first created in older editions. Throughout, I continue to find long dashes where short ones would be preferred. I've found that in versions slightly older than 2023, putting a space between the too-short dash makes it lengthen. There's some magical stuff happening with the GUI display logic that just baffles me. I look forward to seeing this magic subdued. Thanks all for taking this seriously.

@Carl Love 

Thanks to both Carl and Edgardo for clarifying that what happens in the kernel will still happen, so we are talking about the GUI only. Now Carl types in n-x as if that were a possibility. Isn't that automatically a binary subtraction, so that the dash between must necessarily be the long one? If a change is made and n-x can occur, then the change will have failed to correct the underlying problem.

@ecterrab 

ndash for numbers looks OK. But when I saw the lines where ndash for letters did not equal the long dash for the same letter, I got surprised. Does that mean that if an "ndash" x and a long-dash x were on the same side of an equal sign, they would not add to zero?