Keep the simulation time $5$ seconds and zero initial velocity and the initial displacement $1$ for all cases. Plot

displacement of the mass x for all three cases in one figure and compare them: which of them decays fastest?

Why is that?

Matlab codes for case a$)$ as an example has beed included below:

$\%$ Initialization

clc;

clear;

close all;

$[$t$1,$ y$1]=$ ode$45($@vdp$1,[05],[1$; $0])$;

$...$

plot$($t$1,$y$1($:$,1))$;

hold on

$...$

function dydt $=$ vdp$1($t$,$y$)$

dydt $=[$y$(2)$; $$ y$(2)25*$y$(1)]$;

end

$...$

Please include only one figure as a solution to this problem, superimposing three plots, one for each

case. This figure should be included in a single PDF$,$ as described in $$HW Submission$$

$0$mx bx kx$++=!!!$