1 determine the total response of the 2nd order linear differential eq

Question

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