- #1

sliperyfrog

- 27

- 0

## Homework Statement

ty'' + y' = 2t

^{2}, y(0) = 0

## Homework Equations

laplace(f''(t)) = s

^{2}laplace(f(t)) -sf(0) - f'(0)

(-1) (d/ds) (F(s))

## The Attempt at a Solution

I know how to solve the problem except for the ty'' part. I tried using the equation and I got -d/ds(s

^{2}Y(s) - 0 - f'(0)) which becomes -2sY(s). But this is wrong because it does not lead to the correct answer y = (2/3)t

^{3}+c

_{1}t

^{2}