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Question: Can Maple return an analytical (or numerical) solution to an ODE containing non-integer exponents?

Question:Can Maple return an analytical (or numerical) solution to an ODE containing non-integer exponents?

Teep 195 Maple 2018
ode differential-equations exponent non-integer
December 19 2024
0

Good afternoon.

I have a differential equation of non-integer degree and would like to know if it is possible to express a solution in terms of elementary or special-functions for certain values of the exponent, n>0.

For this equation, Maple provides an analytical solution for the exponent values n=0 and n=1, otherwise, there is no solution returned. I am particularly interested in the cases where n=1/2, 3/2, 2, 5/2, and 3

I am hoping that someone can help me resolve this - if a closed-form solution is not possible, then a numerical solution would also be welcome.

I have provided the details in the attached worksheet.

Thanks for reading!

MaplePrimes_Dec_19.mw
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