- #1

Destroxia

- 204

- 7

## Homework Statement

y'' - xy' + xy = 0 around x

_{0}=0

Find a solution to the 2nd order differential equation using the series solution method.

## Homework Equations

Assume some function y(x)= ∑a

_{n}(x-x

_{0})

^{n}exists that is a solution to the above differential equation.

## The Attempt at a Solution

How on Earth do I shift the index in each equation to make the x

^{n}in each series the same power?

I don't see any way to do it.