Using Laplace Transforms, find the solution $y(t)$ of the following second$-$order linear ordinary differential equation :

$d^2\frac{y}{d}{t}^2+3d\frac{y}{d}t+2y=d\frac{x}{d}t+3x$

when $x(t)=(t)$ and for initial conditions: $y(0)=1,d\frac{y}{d}t(0)=0.$