Question

Find a power series solution of the differential equation y" +x^2 y'=0 about the ordinary point x =0.

Answer 1

Explanation:

`Let y=a0+a1x+a2x^2+...\\y'= a1+2a2x +3a3x^2+...\\`

`y`

Hence recurring formula is

`a_(n+1) = -(n(n-1))/(n+1) a_n`

with first term arbitrary and second and third term =0