Can someone help with my differential equation involving power series?

[shreddinglicks]

Homework Statement

Find two power series solutions of the differential equation about the ordinary point x = 0.

Homework Equations

y'' + x^2y' +xy = 0

The Attempt at a Solution

Check attachment.

I found my y1 and y2, the boxed in answers are the ones the book says are the answers. Can someone tell me where I went wrong?

 

[haruspex]

It's possible no-one will have the patience to decipher your attachment. The ability to post images is really intended for photocopies of typed text and diagrams. For your own algebraic working you should type directly into the web page, preferably in Latex.