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Question: Is there a Maple command that can match powers across equal sign and solve for an unknown coefficient?

Question:Is there a Maple command that can match powers across equal sign and solve for an unknown coefficient?

Hullzie16 232 Maple 2023
solve coefficients
September 17 2024
1

I have a differential equation which I am looking for a series solution in inverse powers of r. I am doing this by matching inverse powers between the RHS and LHS of the differential equation and then finding the coefficient in the series solution that would solve this. I have written a little procedure which returns the coefficients, I am just curious if there is a command that will do this for me or if i can improve on this technique? I tried the Solve command in PDETools but it just kept evaluating and did not return an answer. 

Thanks in advance. 

 

EDIT: More detail provided in the first reply. 

coefficient_question.mw
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