FIGURE P$4-14$

$4\mathrm{.}14.$ For the transfer function in Fig. P$4-14,$ the response $Y(t)$ is sinusoidal. The amplitude of the output wave is $0\mathrm{.}6$ and it lags behind the input by $1\mathrm{.}5$min. Find $x(t).$ Note: the time constant in the transfer function is in minutes.