How Accurate Are These Inverse Laplace Transforms?

[Neoon]

Gents,

I have this problem:

find the inverse laplace transfor for

Y1(s) = exp(-s)/s^2

Y2(s) = {1/[4*(s+1)]}*exp(-2*s)

my solution is:

using the 2nd shifting theroem

y1(t) = (t-1) H(t-1)
y2(t) = (1/4)*exp(2-t)*H(t-2)


Is my solution correct?

 

[Neoon]

I want to clarify that H(t-1) and H(t-2) is the Hiviside function.

 

[FrogPad]

I want to clarify that H(t-1) and H(t-2) is the Hiviside function.

What is the laplace transform of?
y1(t) = (t-1) H(t-1)
y2(t) = (1/4)*exp(2-t)*H(t-2)