Understanding the Laplace Transform of a Complex Function

[jaejoon89]

What is y = L{Y(s)} for Y(s) = (1 - e^-s + s^2) / (s^4 + s^2)?

Note: F(s) = L{f(t)} = (1 - e^-s) / s^2

I've just been going in circles trying to figure this one out. I tried simplifying it by partial fractions, but I still couldn't figure it out, and I'd appreciate some help.

 

[Unco]

This is a duplicate post; see https://www.physicsforums.com/showthread.php?t=275969.