Question

Find the first 2 terms of each of two power series solutions: y" + x^2 y'+ xy = 0

Answer 1

Apparently this solution is too long for posting, so I've written it elsewhere and am attaching screenshots of it.

The first four terms of each solution are

`1-\frac23x^3+\frac5{36}x^6-(10)/(567)x^9`

and

`x-\frac1{24}x^4+\frac1{315}x^7-\frac7{32,400}x^(10)`