I need to determine the fundamental set of solutions of(adsbygoogle = window.adsbygoogle || []).push({});

[tex]y''+\frac{3x}{1+x^2}y'+\frac{1}{1+x^2}y=0[/tex]

in form of a power series centered around [tex]x_0=0[/tex].

When I expanded the y's in power series, I am unable to bring the 1/1+x^2 inside the infinite sum. Can anyone help?

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# Homework Help: Solve the ODE y'' + (3x)/(1+x^2)y' + 1/(1+x^2)y = 0

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