1. May 20, 2008 #1

   momen salah

   

   1. The problem statement, all variables and given/known data
   
   solve using power series:
   (x^2)(y")+y=0
   
   
   2. Relevant equations
   
   
   
   3. The attempt at a solution
   
   after solving it i stoped at :
   
   an[n^2-n+1]=0

    

   momen salah, May 20, 2008
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3. May 20, 2008 #2

   Dick

   

   Science Advisor

   Homework Helper

   Your problems are coming from the fact that the differential equation is singular at 0. You can't expand it in a power series around x=0. You'll have to expand around another point if you want to do it that way. For example let u=x+1. Then the equation becomes (u-1)^2*y''+y=0. Now expand it as a series in u.

    

   Dick, May 20, 2008

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