A system described by the following differential equation is initially at rest and then excited by the input x(t) = 3u(t):
\(\frac{d^2 y}{dt^2}+4 \frac{dy}{dt}+3y=x(t)\)
The output y(t) is
1
1 – 1.5e-t + 0.5e-3t
2
1 – 0.5e-t + 1.5e-3t
3
1 + 1.5e-t + 0.5e-3t
4
1 + 0.5e-t – 0.5e-3t