I’m currently trying to collect terms in an expression f^G(xi), but the result is not behaving as expected. I attempted two different coding approaches, but both resulted in errors. This particular case of collecting terms seems to be different from what I’ve encountered before, and I’m unsure how to resolve it.

Could you please advise on how to properly collect the terms in this situation and avoid the errors? Any insight into why this case behaves differently would also be appreciated.

Thank you for your help.

collect_term.mw

I am currently working with an ordinary differential equation (ODE) that I find difficult to express and solve accurately. In this ODE, the symbol f represents an exponential function rather than a typical variable, which adds to the confusion. Although I have followed the format used in related research papers, the results I obtain are not satisfactory.

Since this type of ODE is new and somewhat unfamiliar to me, I would greatly appreciate your guidance in:

1. Properly formulating the ODE.

2. Understanding the role of f in the context of exponential functions.

3. Finding the correct and complete solutions.

4. Learning how to clearly present each solution step by step.

Thank you in advance for your support.

AA.mw

These are the same (i.e. mathematically equivalent for real x)

A:=-x*(x - 4*exp(x/2) + 2);
B:=x*sqrt((-8*x - 16)*exp(x/2) + x^2 + 4*x + 16*exp(x) + 4);

But can't see how to use Maple to show this, other than numerically and by plotting.

Any one knows of a trick? Below is worksheet. Using another software, it was able to show they are same:

Here are my attempts in Maple 2025
 

>  interface(version); >  restart; >  A:=-x*(x - 4*exp(x/2) + 2); B:=x*sqrt((-8*x - 16)*exp(x/2) + x^2 + 4*x + 16*exp(x) + 4); >  plots:-display(Array([plot(A,x=-3..3),plot(B,x=-3..3)]))   >  Digits:=16; seq(MmaTranslator:-Mma:-Chop(A-B),x=-2..2,.1) >  simplify(A-B); >  simplify(A-B) assuming real; >  simplify(evala(A-B)) assuming real; >  simplify(normal(A-B)) assuming real; >  simplify(A-B,exp) assuming real; >  simplify(evalc(A-B)) assuming real;

Download show_same_may_3_2025.mw

Manually factoring each equation in this system one by one is time-consuming and inefficient. Is there a way to automate the factoring of expressions into two multiplicative terms—some of which may be single-term factors—using code?

Download by_hand!.mw

Substituting the solutions into the ODE doesn't yield zero, despite the code appearing correct—suggesting either complexity, symbolic limits, or an implementation issue.

17-ode.mw

also in this ode why solution is like this how i can fixed this too

Download v1.mw

My maplet (author: Xavier Cormier) "sudokuvision_multithread3" allows you to generate, solve, and play nxm region sudoku puzzles. It is possible to import lists of puzzles in .csv, .sdm, and .sdk format. It loads a grid in line format. It saves puzzles in .txt and .csv format to import them on Android (Andoku3, OpenSudoku; you must re-save the file in .sdm) and on iOS (SmartSudoku, Good Sudoku). It saves game puzzles (in numbers or colors) and their solution as a .gif image.
Two possible interfaces.
Multithreading is used to generate sudoku puzzles in parallel on multiple threads: we use sequences for the random number and the number of sudokus for each thread:
e.g., [4521,7458]=s1 for the random number and [2,2]=s2 for the number of sudokus. We then generate 2[i] sudokus for the ith thread. with s1[i] as a random integer.
The maplet is compatible with Maple 2021 but not with Maple 2015.

Go to my Maple Cloud link :

https://maple.cloud/app/6283420531032064/sudoku+multithread3?key=8DBF1E6D71EF423B9BE883C27FF0FD892C14B4FCD25B4920A29AFE4E4B4363B8

This question is actually on behalf of a colleague who works with fuzzy mathematics. He typically computes things like fuzzy derivatives by hand, including for specific functions such as "function 14" (though I'm not familiar with the specific form of that function). He’s interested in whether Maple can symbolically and numerically handle tasks in fuzzy calculus — especially taking and plotting fuzzy derivatives.

I’m not experienced with fuzzy systems myself, but I’d like to recommend Maple to him if it supports these features. So my main questions are:

1. Can Maple compute and plot fuzzy functions and their derivatives?

2. Does Maple have built-in support or packages for fuzzy arithmetic or fuzzy calculus?

3. If not natively, is there a workaround or external library that integrates with Maple to do this?

I’d really appreciate any insights or examples. It seems like a missed opportunity for my friend to be doing all this manually when such software might already handle it.

Thanks in advance!

I'm trying to collect all terms involving the expression diff(G(xi), xi)/G(xi) in a symbolic equation using . While it's straightforward to do this by hand, I want to automate it in code — ideally by extracting the coefficient of this entire expression directly. However, when I use collect, Maple treats diff(G(xi), xi) and G(xi) separately, and I can't seem to group terms properly by the full ratio diff(G(xi), xi)/G(xi).

Is there a clean way or built-in Maple function to automatically collect or isolate the coefficient of diff(G(xi), xi)/G(xi) as a whole, without having to manually substitute or restructure the expression?

Download collect-coe.mw

I am facing an issue with two algorithms: one runs correctly, while the other fails to execute. The only difference is that the second algorithm includes one additional term. I would like to understand what causes the failure in the second case.

 a while i used this without problem but i don't know what is issue now.

ode-not-run.mw

Error,(in solve)cannot solve expressions with sum(f[ij]*(H[j]*gamma[j] - PS[j]*alpha[j]),j =1 .. N) for H[j]
can any one what can I do for this error?

For compution this is not important, for latex, I find  n>0 little more clear to read than 0<n 

Is there a way to tell Maple not to reverse terms on each side of the > just for latex purposes?

It seems Maple does this only for   > and not for  <

I know the latex output follows what is displayed on the screen in Maple. And that is what happens also for display. Maple rewrites n>0 as   0<n.   

I tried changing display->Typesetting level from extended to maple standard but this had no effect. 

Is there a trick to make Maple not all the > to  <  ?

Again, I wanted to do this just for the latex output because for computation and for screen display in worksheet, it is not an the issue for me, as I only use Latex output.

It seems Maple like to make everything  based on "<" internally and that is why it reverses it?

Download why_reverses_may_1_2025.mw

I’m trying to verify a solution given in the form from  using Maple's odeTest. Even though the paper claims the solution satisfies the ODE, Maple does not simplify the result to zero. Could someone explain why the test fails or suggest the correct way to verify it in Maple?

Download Z1.mw

Why doesn't this ODE return zero when using odetest? Did I do something wrong?

Would you like help checking the equation or debugging the issue?

Download ode.mw

This happens in Maple 2025, but when I checked Maple 2024.2, same thing happen.

To reproduce, I typed ?coeff in the worksheet. Now the help page for coeff comes up OK. On the right, there are some links below "see also". 

Clicking on the one that says PolynomialTools[CoefficientVector] and now an EMPTY page opens up.

Also, typing ?PolynomialTools in worksheet, opens the help page for Overview of the PolynomialTools Package. Now clicking on CoefficientList link, opens an EMPTY page. Same when clicking on CoefficientVector, an EMPTY page !

Have not checked all the links in the help page, but why are some commands have empty help pages?

I am interested in having bold notation for vectors and matrices.

Any commands or packages that output expressions this way?