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Applying power series method to solve DE
Posted:
Apr 19, 2009 3:11 PM


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 secondoder DE using the power series method if the equation is linear. But in this case it seems that the DE is nonlinear. 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.



