Using Laplace transform, determine the response of the continuous$-$time LTI system described by the differential equation $\frac{d^{2}y(t)}{d{t}^2}+5\frac{dy(t)}{dt}+6y(t)=\frac{dx(t)}{dt}+x(t)$ with $y(0)=2$ and $\frac{dy(t)}{dt}{|}_t||=0=1$ for the input $x(t)=e^{-4t}u(t)$