Thanks for the response and Latex help. Writing out the first few terms of each sum:
$$
(1-x)[2a_2+6a_3x+12a_4x^2+...]+[a_0+a_1x+a_2x^2+...]
$$
I am not sure what to do with the (1-x) term outside the first sum...
Homework Statement
\begin{equation}
(1-x)y^{"}+y = 0
\end{equation}
I am here but do not understand how to combine the two summations:
Mod note: Fixed LaTeX in following equation.
$$(1-x)\sum_{n=0}^{\infty}(n+2)(n+1)a_{n+2}x^n+\sum_{n=0}^{\infty}a_nx^n = 0$$