Help with Inverse Laplace Transform

[nick_d_g]

Hello,
I know normally giving solutions is frowned upon, but I have lost my colleagues data sheets and desperately need this transform to continue my work.
I am looking for the Inverse Laplace Transform of the Transfer Function:

H(s) = 1 / (s^2 + 20s + 5K)

where K is an as yet unknown constant, to be determined using this result.

Any help with this would be muchly appreciated.
Many Thanks
Nickxx

 

[Russell Berty]

Try completing the square.

 

[jweygna1]

h(t)=e^(-10t)*sin(sqrt(5k-100))

 

[jweygna1]

I forgot the t in the sine function and it wouldn't let me edit my post:
h(t)=e^(-10t)*sin(sqrt(5k-100)t)