Find the total solution of the ODE

$\frac{d^{2}y}{d{t}^2}+4\frac{dy}{dt}+3y=3e^{-2t}$

subject to the initial conditions $y(0)=1$ and $y^{\text{'}}(0)=-1$

a$)$ Solve analytically, b$)$ Use MATLAB commands "dsolve" and "ezplot" to solve numerically

and plot the solution. Provide your code and the output.