Inverse Laplace Transforms Problem 2

[Spoolx]

Homework Statement

f(s) = 6/s^2-9

Homework Equations

I think
f(t) = (1/b-a)(e^-at-e^-bt)

The Attempt at a Solution

Replace 6/s^2-9 with 6/(s-3)(s+3)
a=-3
b=3

Plug in
(1(6)/3-(-3))(e^-(-3)t-e^-3t)

Final Result
e^3t-e^-3t

 

[LCKurtz]

Homework Statement

f(s) = 6/s^2-9

Homework Equations

I think
f(t) = (1/b-a)(e^-at-e^-bt)

The Attempt at a Solution

Replace 6/s^2-9 with 6/(s-3)(s+3)
a=-3
b=3

Plug in
(1(6)/3-(-3))(e^-(-3)t-e^-3t)

Final Result
e^3t-e^-3t

It's easy enough for you to check it yourself. Take the transform of your answer and see it it gives what you started with.