- #1
Lord Anoobis
- 131
- 22
Homework Statement
Use the power series method to solve the initial value problem:
##(x^2 +1)y'' - 6xy' + 12y = 0, y(0) = 1, y'(0) = 1##
Homework Equations
The Attempt at a Solution
The trouble here is that after the process above I end up with ##c_{k+2} = - \frac{(k-3)(k-4)}{(k+2)(k+1)}c_k##, giving nothing but zeroes for ##k = 3## onward, which cannot be correct. Where have I gone wrong here?