# Inverse Laplace transform

• August 31st 2008, 01:42 AM
000
Inverse Laplace transform
can anyone tell me the inverse laplace transform of a constant???
Asap... urgently required....
• August 31st 2008, 02:54 AM
mr fantastic
Quote:

Originally Posted by 000
can anyone tell me the inverse laplace transform of a constant???
Asap... urgently required....

$LT^{-1}[1] = \delta (t)$ where $\delta (t)$ is the Dirac delta function.
• August 31st 2008, 06:49 AM
000
can u tell me how that happened???
• August 31st 2008, 08:51 AM
CaptainBlack
Quote:

Originally Posted by 000
can u tell me how that happened???

Because:

$(\mathcal{L}\ \delta)(s)=\int_0^{\infty} \delta(t)e^{-st}\ dt=\left. e^{-st}\right|_{t=0}=1$

(works better with the two-sided transform though)

RonL