Determine inverse Laplace Transform of the given function: s-1 / (2s^2 +s +6)

Question

accessdenied · Answer

Did you have any ideas on how to begin on this problem?

accessdenied · Answer

My first thought would be to try and factor the denominator.  But it doesn't seem like it will factor, so instead we might be aiming for completing the square and getting the form of the trig functions.

anonymous · Answer

yeah i completed the square. then i tried to take laplace transform but in order to do that i needed to manipulate the numerator so that it fits the cosine and sine of the transform. i got an answer but i'm not sure if it's right since the book doesn't provide answers for even questions.

accessdenied · Answer

What answer did you get?
Putting it into sine/cosine form mainly involves some tricky algebra manipulations.

anonymous · Answer

the final answer i got was |dw:1397938139896:dw|