the original question is:

$\displaystyle (x^2 - 3)y'' + 2xy' = 0$ about $\displaystyle x_{0} = 0$

and i got to this part:

$\displaystyle \sum_{n=2}^{\infty} (n-1)(n)(a_{n})(x^n) - \sum_{n=2}^{\infty} 3(n-1)(n)(a_{n})(x^{n-2}) + \sum_{n=1}^{\infty} 2(n)(a_{n})(x^n) = 0$

what do i do next?