Homework SourseFind the Laplace transform of ft 0 t Solutionusing standard
Find the Laplace transform of f(t) = {0, t 
Solution
using standard result
L {u(t)}= 1/S
L u(t-t0) = e-st0/S
and L (tnu(t)) = n!/Sn+1 for n>0
f(t) can be wrtten as
f(t) = ( t2- 6t + 16 ) u(t-3)
= [ (t - 3)2 + 7 ] u (t-3)
F(S) = e-3s L.T. { ( t2 + 7) u(t) }
= e-3s L.T. { ( t2u(t) + 7u(t))}
= e-3s ( 2/S3 + 7/S )
