Question

Complex Analysis

For the system response to a sinusoidal input with unit amplitude and an input frequency of 3rad/s:

y(0)=0, \dot{y}(0)=0, \text { and } u(t)=\sin (3 t)

The response of the system is

y(t)=0.12 e^{-t}+0.6 t e^{-t}-0.12 \cos (3 t)-0.16 \sin (3 t)

O True

False