Problem 14.4-5

We have

where g(t) = - t/T

Thus we have

L[f(t)] = L [g(t – T)u(t – T)] = e ^{- sT} G(s)  (1)

Where G(s) = L [g(t)u(t)] = L [ - t*u(t)/T] = L [t*h(t)] = -dH(s)/ds

Where h(t) = - u(t)/T, thus

and we get

So finally we get, from (1)