Question

Find the power series expansion about x=0 for a general solution to (x^2+1)y''-xy'+y=0

Answer 1

I combined the series to form an+2= -an(n-1)^2/((n+2)(n+1)). The n's next to the a are subscripts btw. From this I plugged in values of n, and figured out that all the even terms can be expressed in terms of a0 and all the odd terms are 0. But I don't know what to do next and how to express this as a series solution.