2. Determine the total response of the 2nd-order linear differential equation with initial conditions, y(0) = 1 and ÿ(0) = 1 \ddot{y}+5 \dot{y}+4 y=8 Determine the characteristic equation and root,

the homogeneous solution y#(t), the particular solution yp(t) and the total solution y(t). Plot the homogeneous, particular and total solution with MATLAB.