Find the power series solutions of the equation:

(2x^{2})y'' + (3x)y' - (x^{2}+ 1)y = 0

Any help would gladly be appreciated.

- November 26th 2012, 07:03 PMredhotman225How to solve this second order equation using power series method?
Find the power series solutions of the equation:

(2x^{2})y'' + (3x)y' - (x^{2}+ 1)y = 0

Any help would gladly be appreciated. - November 26th 2012, 08:00 PMProve ItRe: How to solve this second order equation using power series method?
Start by writing , which means and .

Substitute these in and perform some algebraic manipulation. What can you come up with?