Consider the following initial value problem:

$\frac{d^{2}y}{d{t}^2}+5\frac{dy}{dt}+6y=7,y(0)=1,\frac{dy}{dt}{|}_t=0=0$

a$.$ Find $y(t)$ using the method of Laplace Transforms.

b$.$ What is the final steady$-$state value of this $y(t)?$