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Topic: Applying power series method to solve DE
Replies: 2   Last Post: Apr 22, 2009 7:12 AM

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need_for_help

Posts: 12
Registered: 11/4/08
Applying power series method to solve DE
Posted: Apr 19, 2009 3:13 PM
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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.



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