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I need help in a problem

  • #1

Homework Statement



solve using power series:
(x^2)(y")+y=0


Homework Equations





The Attempt at a Solution



after solving it i stoped at :

an[n^2-n+1]=0
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,258
618
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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