Question

I am trying to find the Laplace Inverse of (s+2)/(s-1)

I know 1/(s-1) is e^t but what is laplace inverse (s+2)/1 ? or should I not split the denom and numerator up?

Thanks

Answer 1

can't we do some long division here?

Answer 2

\[\frac{s+2}{s-1}=1+\frac3{s-1}\]

Answer 3

I did expand and did got (3/(s-1)) + 1 if that is what you meant

Answer 4

that is the only answer I see, and it will yield the delta function

Answer 5

I look at it like polynomial long division