Help to solve constants in power series for differential equations

Ketan Deshpande

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Mar 18, 2021
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Hello everyone,

I have a differential equation of the form,

1616065749919.png

Can someone help me on how to solve for a1 & J as mentioned in the above picture? I have got recurrence relations for the power series but I am unable to solve for the constants a1 and in return J. The values of a1 & J will be in terms of known values of A, B, C & D

Any help or input would be appreciated as I am on stuck on this issue for a week now.

Thank you
Ketan
 
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