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I need to determine the fundamental set of solutions of
[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?
[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?