I am not sure how to use dsolve for my problem.
CQ_v1.mw

I'm trying to extract the real and imaginary parts of a given PDE. However, during the substitution step, something unexpected occurs. Specifically, my replacement does not yield the expected result, and an extra term appears: D(k)(t*w + x) in the expression P11. I'm unsure why this term arises and would appreciate any insight into what might be going wrong during the substitution process.

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I want to convert my code output into LaTeX format, but the current formatting isn't suitable for presentation. For example, when I use simplify, it sometimes introduces unnecessary fractions, making the expression look cluttered and less elegant on paper. I'm looking for a way to simplify expressions preferably by factoring terms, without introducing extra fractions, so the final LaTeX result appears clean and well-structured.

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How can we eliminate nonlinear terms involving two functions in a differential equation?

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I’ve successfully plotted this exercise, but I’m exploring ways to improve the visualization. Specifically, I’d like to know if it's possible to combine a 2D plot as a smaller inset within a 3D plot, positioned in a corner of the 3D graph.

Additionally, I’ve noticed that although the same data is plotted in different examples, the design and style of the plots can vary significantly, some look much more polished or professional. Are there recommended techniques, functions, or toolboxes in Maple that can help improve the visual design or aesthetic of the plots

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in here How we can seperate the coefficent of conjugate this conjugate sign how remove from my equation ?

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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

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?

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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

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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?

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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?

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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?

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I’m trying to test a specific function as a solution to a nonlinear ODE in Maple. The equation is of the Riccati type, and my candidate solution involves parameters A, B, and C.

I've used assuming to specify the condition (4AC−B2)>0 and (4AC - B^2) <0, but when I use odetest to verify the solution, I still get a nonzero result. Additionally, when I apply the assumption, Maple sometimes introduces a negation sign in the output (e.g., changing sqrt(...) into -sqrt(...)), which wasn't part of the original solution.

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i did every thing coreectly but nothing happen not apply where is my mistake?

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