The problem statement, all variables and given/known data

Find the recurrence relation for the following diﬀerential equation. You

do not need to solve the rest of the way.

y" − 2xy = 0

The attempt at a solution

I'm not exactly sure how to do this problem but from the example of the book I tried this:

kinda ended up with

(k+1)(k+2)c_{k+2}+2c_{k-1}= 0 k=1,2,3...