Date: Apr 19, 2009 3:11 PM
Author: need_for_help
Subject: Applying power series method to solve DE

Dear all,

I need to solve the following DE by means of the power series method.

(1 - x^2).y'' - 2xy.y' + 2y = 0
y(0) = 1
y'(0) = 0

I am able to solve without any problem a second-oder DE using the power series method if the equation is linear. But in this case it seems that the DE is non-linear. In fact I am disturbed by the [y"] in the term [2xy.y']. I am stuck at this point and don't know what to do.

Could you please help me ?

Thanks in advance.