- #1
freshman2013
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Homework Statement
find the series solution to y''+x^2*y'+y=0
Homework Equations
y=summation from n=0 to infinity Cn*x^n
The Attempt at a Solution
y=sum from 0 to inf Cnxn
x^2*y'=sum from 1 to inf nC n xn+1 = sum from 2 to inf (n-1) C n-1 xn = sum from 1 to inf (n-1) C n-1 xn
y''=(n+2)(n+1)Cn+2 xn from 0 to infinity
basically, I can't get all three series to match at starting index n=0 and get them to have the terms x^n
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