Solve the following differential equation by power series method about

Question

Solve the following differential equation by power series method about $x=0:$

$(1-x^2)y'(x)-2xy'(x)+2y(x)=0$

22 Mar 2023

Answer :

Word Count : 278

To solve the given differential equation by the power series method, we assume that the solution y(x) can be expressed as a power series about x = 0:

$y(x) = sum_{n=0}^\infty a_n x^n$

We also assume that the coefficients a_n can be determined _______ _______ ___ _________ _________ ____ ______.
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