Originally Posted by

**thedoge** Thanks again, that makes perfect sense.

I'm trying to decide between PDEs and Complex Variables. I think PDEs would be more useful in my field (atmospheric science), but I don't really know what the Complex Variables course is about.

So, for the first problem, I have it here:

$\displaystyle

X \left( s \right) = \left( s+1 \left( {s}^{2}+4\,s+8 \right)

\right) ^{-1}

$

With Roots: 2+-2i, what happens now?

I can tell there will be an e^-2t and a cos(2t) sin(2t), but im hazy for the steps to get to the final answer