(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

y = Σn=0 to inf (a_n * t^n)

and formula to differentiate polynomials.

3. 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.

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# Homework Help: Find a recurrence formula for the power series solution around t = 0

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