Repository of Short Examples and Solved Problems

ODE Solved Example-11

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\(\newcommand{\DD}[2][]{\frac{d^2#1}{d#2^2}}\newcommand{\dd}[2][]{\frac{d#1}{d#2}}\)
Question :-

Analyse which case of Frobenius series solution does the following differential equation belong to?  \[x^2\DD[y(x)]{x} + x \dd[y(x)]{x} -(2 x^5+484) y(x) =0. \]  Find two linearly independent solutions of this differential equation.

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