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I need help in a problem

  1. May 20, 2008 #1
    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
     
  2. jcsd
  3. May 20, 2008 #2

    Dick

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    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.
     
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