Question

Consider the differential equation (t−2)(t+1)y′′+(t−2)y′+(t+1)y=0
If y(t)=∑an(t+6)n is a power series solution of the differential equation, then its radius of convergence R is at least equal to

Answer 1

Why is it (t+6) ? hmm...

Answer 2

\[\it's actually y(t)=\sum_{n=0}^{\infty}∑an(t+6)^n\]