How do I solve this ODE?

Question:How do I solve this ODE?

Posted: Saha 75 Product: Maple 18

March 26 2023

I need help to solve this ODE,

I didn't get series values F(k+3),Theta(k+2),phi(k+2),error comes in summation values.and

How to find the unknown parameters A,B,C.

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