Applying the defintion of LT we have...
I am having trouble gettin the answer to the attached question. I need to find f(t) and then find L[f(t)] using the t -shifting theorem.
I tried working it out...
f(t) = e^t - e^t u(t-2)
But when i take the Laplace transform i can't get the answer. The answer is
(1 - e^(2 - 2s))/ (s -1)
Thanks in advance,
I don't quite understand your notation. I found f(t) using step functions and that gave f(t) = e^t - e^t u (t -2). From my lectures the t shifiting theorem is:
If LT[f(t)] = F (s), then
LT[f(t-a) u(t-a)] = e^(-as)F(s)
Could you please explain what H(t) is?
Thanks once again,