Thread: Need help for Laplace transform

1. Need help for Laplace transform

What is laplace transform of
exp(-at)u(-t)

and if laplace of x(t) is 1/s then laplace of dx(t)/dt will be...

2. Re: Need help for Laplace transform

The first one looks like a frequency shift. The other one like differentiation. Both transforms can be look upon as trivial, so look them up in a table.

3. Re: Need help for Laplace transform

i could not find

4. Re: Need help for Laplace transform

\displaystyle \begin{align*} \mathcal{L}\left\{e^{at}f(t)\right\} = F(t - a) \end{align*}

5. Re: Need help for Laplace transform

If the function is $f(t)=e^{- a t}\ u(-t)$ then fot $t>0$ is $f(t)=0$, so that its single side Laplace Tranform is...

$\int_{0}^{+ \infty} f(t)\ e^{- s t} dt =0$

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