- #1
s3a
- 818
- 8
Homework Statement
Find a recurrence formula for the power series solution around t = 0 for the differential equation:
d^2 y/dt^2 + (t - 1) dy/dt + (2t - 3)y = 0
Homework Equations
y = Σn=0 to inf (a_n * t^n)
and formula to differentiate polynomials.
The Attempt at a Solution
I can't find a way to bring all the sums to the same index. I've though about the fact that I can just change which index the sum is at for some of the sums because n=0 and n=1 could cause the entire term to be 0 itself but everything I think about seems to have at least one of the sums starting from another index. My attempt at a solution is attached.