Now, for the system above, set both initial conditions zero. However, there is an external force

$F=sin(2t)$ acting on the mass, build a Simulink model plot the $x(t)$ and $v(t)$ for the first $20$ s $.$

Hint: to derive $v(t),$ you may want to look for a "derivative block" in Simulink. $(10$ points$)$

I need part b c and number $5,$ as I am strugling to addapt the code solve these questions, here is the code:

syms x$($t$)$

m$=0\mathrm{.}05$;b$=1$;k$=0\mathrm{.}2$;w$\_$e$=2$;F$=$sin$($w$\_$e$*$t$)$;

Dx$=$diff$($x$,$t$)$;

D$2$x$=$diff$($x$,$t$,2)$;

solution$=$dsolve$($m$*$D$2$x$+$b$*$Dx$+$k$*$x$==$F$,$Dx$(0)==0,$x$(0)==0\mathrm{.}1)$;

disp$($solution$)$;

t$1=0$:$0\mathrm{.}01$:$25$;

x$1=$subs$($solution$,$t$,$t$1)$;

plot$($t$1,$x$1)$;

xlabel$(\text{'}$Time$($s$)\text{'})$;

ylabel$(\text{'}$Displacement$($m$)\text{'})$;