Differential Equations Given below is the recurrence relation for a power series solution of a differential equation about the ordinary point x 0 = 2. Find the first four non-zero terms in each of the...

Differential Equations

Given below is the recurrence relation for a power series solution of a differential equation about the
ordinary point x₀
= 2. Find the first four non-zero terms in each of the two linearly independent
solutions.
a₂
= a₀/2 , a_n+2
= (a_n+a_n−1)/ (n+2)(n+1) , for n ≥ 1