$[$Ch$5-2]$ Compute the response of the system below and plot the response using Matlab$/$Octave

$10x^{}+40x^{}+4000x=50(t-0\mathrm{.}5)$

$x(t)=$hat$(F)\frac{e^{-r{}_n(t-)}}{m{}_d}sin{}_d(t-),mi{c}^{}+cos+k_n=$hat$(F)del(t-)$

$W_n=\frac{\sqrt[\phantom{2}]{12}}{m}=\frac{\sqrt[\phantom{2}]{4000}}{10}=\sqrt[\phantom{2}]{400}=20Fa\frac{b}{s}$

$Z=\frac{c}{2\sqrt[\phantom{2}]{1km}}=\frac{40}{2\sqrt[\phantom{2}]{400010}}=0\mathrm{.}1$

${}_d={}_n\sqrt[\phantom{2}]{1-z^2}=19\mathrm{.}9ra\frac{d}{s}$

$x(t)=50\frac{e^{-0\mathrm{.}120(t-0\mathrm{.}5)}}{1019\mathrm{.}9}sin19\mathrm{.}9(t-0\mathrm{.}5)$

Plot of the reponse use octave or mathlab