1. The problem statement, all variables and given/known data y'' - xy' + xy = 0 around x0=0 Find a solution to the 2nd order differential equation using the series solution method. 2. Relevant equations Assume some function y(x)= ∑an(x-x0)n exists that is a solution to the above differential equation. 3. The attempt at a solution How on earth do I shift the index in each equation to make the xn in each series the same power? I don't see any way to do it.