- #1
Math10
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- 0
Homework Statement
Find the power series in x for the general solution of (1+x^2)y"+6xy'+6y=0.
Homework Equations
None.
The Attempt at a Solution
I got up to an+2=-an(n+3)/(n+1)
for n=1, 2, 3, 4, 5, 6...
a3=-2a1
a4=0
a5=3a1
a6=0
a7=-4a1
a8=0
The answer in the book says y=a0sigma from m=0 to infinity of (-1)^m * (2m+1)x2m+a1sigma from m=0 to infinity of (-1)^m * (m+1) x^(2m+1). How do I get the correct answer?