Use the Laplace transform to solve the linear constant coefficient differential equation \frac{d^{2} y}{d t^{2}}+5 \frac{d y}{d t}+6 y(t)=18 H(t) where H(t) denotes the Heaviside step function, with initial conditions

y(0)=6 y^{\prime}(0)=\left.\frac{d y}{d t}\right|_{t=0}=-38