One of my homework problems last week was to find the inverse Laplace transform of the following:
The answer is $f(t)= 2e^t \cos t + 3e^t \sin t$.
Obviously once you have the decomposed fraction the remainder of the problem is simple but I can't seem to get to that point. I already turned in the assignment (they are ungraded) but I have a test coming up and want to make sure I'm ready. Could someone please lay out the steps to decompose $F(s)$?