Proof of an inverse Laplace Transform needed please

[raytrace]

Homework Statement

\frac{s}{(s-a)(s-b)}

Homework Equations

Now I know that it results in:

\frac{ae^(at)-be^(bt)}{a-b}[\tex]<br /> <br /> <h2>The Attempt at a Solution</h2><br /> <br /> OK, I don&#039;t have the slightest clue where to begin. Could someone point me in the right direction? I&#039;ve looked at all the Transforms on the table on the back of the book but none of them give me a clue as to how to deal with a \frac{s}{s-a}[\tex] situation.

 

[Count Iblis]

Evaluate the residues of

s/[(s-a)(s-b)] exp(st)

at s = a and s = b using L'Hôpital's theorem.

 

[raytrace]

Evaluate the residues of

s/[(s-a)(s-b)] exp(st)

at s = a and s = b using L'Hôpital's theorem.

Thanks for the quick reply, will try that out.