Decide the inverse laplace transform of the problem below:
You're allowed to use s shifting.
The Attempt at a Solution
By looking at the denominator, I see that it might be factorized easily, so I try that.
I end up struggling and realizing that it's a complex root. Complex roots and inverse laplace transform isn't something we've learned yet, but I'm keen to solve this problem regardless.
So the denominator can be written like this:
##s^2 - 4s +8 = 2+/- 2i##
Looking at my laplace transform table, I can't recognize the pattern to try solving this.
Can I use polynomial division?
Any help here is greatly appreciated.