1. The problem statement, all variables and given/known data Find the power series in x for the general solution of (1+x^2)y"+6xy'+6y=0. 2. Relevant equations None. 3. 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?