For the transfer function in Fig. P4–14, the response Y ( t ) is sinusoidal. The amplitude of the output wave is 0.6 and it lags behind the input by 1.5 min. Find X ( t ). Note: the time constant in...

For the transfer function in Fig. P4–14, the response
Y
(
t
) is sinusoidal. The amplitude of the output wave is 0.6 and it lags behind the input by 1.5 min. Find
X
(
t
).

Note: the time constant in the transfer function is in minutes.