Find the Laplace Transform for the function below using the

Find the Laplace Transform for the function below using the definition: f(t) = {e^t, 0 lessthanorequalto t 1, x greaterthanorequalto 0, y greaterthanorequalto 0 Evaluate each of the Laplace Transforms below: L[2 - 3t^4 + sin 5t - e^-6t]

Solution

Use Laplace Transform table}:

L{e^{at}=1/s-a

L{e^{t}=1/s-1

=1/s-1 (for t=1)

For t >1

L{0} = 0