hi i'm new here and i wanted to ask a question what is the laplace inverse of 1 ? i have been told that it's laplace transform of dirac(t). but what is dirac(t) please i have looked every where in the web for it it's two marks bonus for me if i get it and it's due today.
Did you try Wikipedia? http://en.wikipedia.org/wiki/Dirac_delta_function [tex]L(\delta(t-a)) = e^{-as}[/tex] Let a=0. And there you have it.
The "Dirac delta function" is more commonly called just "the delta function". It is not, in fact, a "function" but rather a "generalized function" or "distribution". Roughly speaking that's a that's a functional: an operator that assigns a number to every function. The delta function assigns the number f(0) to every function f (so [itex]\delta(t- a)[/itex] that Defennnder show assigns the number f(a) to every function f).