Question: Choose custom solution form to use when solving system of ODE


I have a system of two differential equations, both normalized. I can solve it, but it results in a rather complex form. As I am trying for now to re-create the solution from literature which makes some intelligent choices for the form that the solution will take and the appropriate constants. Now I would like to re-create this in Maple to be able to work from there on some variations. But I cannot find a way to suggest to Maple to use a specific form for the solution. Is there a way of doing this. If this is not possilbe it might be possible to suggest Maple to use goniometric function or exponentials of some other form. How to do this?

Any help is greatly appreciated.



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