- #1

- 3

- 0

## Homework Statement

I need to know what the laplace transform is for f(t) * u(t)

More specifically, h(t) = cos(3t)*u(t)

## Homework Equations

I know that f(t-t

_{o}) * u(t-t

_{o}) = e

^{-tos}* F(s)

## The Attempt at a Solution

So, f(t) = cos(3t)

F(s) = s/(s

^{2}+ 9)

In the formula I gave in (2), I would then think that t

_{o}= 0, because we just are multiplying f(t) by u(t - 0).

So H(s) = e

^{-0*s}* F(s)

H(S) = 1* F(s) = s/(s

^{2}+ 9)

I think this is right but could someone confirm this?

Thanks!