$(10$ points$)$ Suppose the system differential equation is:

$\frac{d^{2}y(t)}{d{t}^2}+5\frac{dy(t)}{dt}+6y(t)=6$

where

$\frac{dy(t)}{dt}{|}_t||=0=2,y(0)=2$

Try to find $y(t).$