Consider the following differential equation
y''(t) + 4y' (t) - 5y(t) = x'(t) + ×(t)
With y(0-) = 1, y' (0-) = 0 and ×(t) = e^(-t)u(t)
Find the total solution of (y) breaking it into the transient (Zero-lnput) response and the steady state (Zero-State) solution using Laplace Transform (make sure its in the time domain)