Inverse Transform | Homework Statement | No Table Match

[oddiseas]

Homework Statement

inverse laplace transform of 1/(√(S²+2S+5)

Homework Equations

i AM TOTALLY STUCK I CANT FIND ANYTHING IN THE TABLE OF TRANSFORMS MATHCING THIS.

The Attempt at a Solution

 

[Dick]

1/sqrt(s^2+1) is the transform of the bessel function J0. That's as near a match as you're likely to find. You'll have to do some scaling and shifting to get it to match your expression. Hint: s^2+2s+5=(s+1)^2+4.

 

[oddiseas]

thanks, it was doing my head in. I apllied the bessel function with the shifting theorm for an exponential.