For the mechanical system shown in Fig. P 3. 25, the input and output are the displacement $x$ and $y$ respectively. The input is a step displacement of $0.4 \mathrm{~m}$. Assuming the system remains linear throughout the transient period and $m=3 \mathrm{~kg}, c=3 \mathrm{~N}-\mathrm{s} / \mathrm{m}$, and $k=1 \mathrm{~N} / \mathrm{m}$, determine the response of the system using MATLAB.

Fig. P 3. 25

m y C X