Find L Ut 2 2ess2 B e2ss2 2e2s C ess2 esS D e2ss2 2e2ss E N

Find L {+ U(t -2)} 2e^-s/s^2 B. e^-2s/s^2 -2e^-2s C. e^-s/s^2 +e^-s/S D. e^2s/s^2 +2e^-2s/s E. None

Solution

laplace transform of u(t-c).g(t)=(e^-cs)*laplace of g(t+c)

In our case c=2 and g(t)=t

so Laplace transform=e^-2s * laplace of (t+2)=e^-2s (1/s^2+2/s)

which represents D.