- #1

Schfra

- 47

- 0

## Homework Statement

I need to solve the DE

y’ = x^2y

using the power series method

## Homework Equations

y = sum(0->inf)Cnx^n

y’ = sum(1->inf)nCnx^(n-1)

## The Attempt at a Solution

I plug in the previous two equations into the DE. What is the general procedure for these problems after that?

I believe I can bring the x^2 into the summation to get

sum(1->inf)nCnx^(n-1) - sum(0->inf)Cnx^(n+2) = 0

I’m not sure what to do after this.