# Math Help - solving ODE with series

1. ## solving ODE with series

How can we solve this ODE with series

http://img841.imageshack.us/img841/8682/80858005.png

2. ## Re: solving ODE with series

Start by writing \displaystyle \begin{align*} y = \sum_{n = 0}^{\infty}a_nx^n \end{align*} and substituting into the series. What could we then write \displaystyle \begin{align*} y' \end{align*} and \displaystyle \begin{align*} y'' \end{align*} as? Can you substitute these into the ODE and simplify?