Consider the system shown:

m$=2$kg$,$b$1=$b$2=4$N$($s$)/($m$),$k$=20($N$)/($m$),$ Assume that x$(0)=0\mathrm{.}1$m and x$(0)=0$x$($t$)$ is measured from the equilibrium position.x$($S$)$

Some hints, the system is a second order system and it is characterized by:

Mx$^(\text{'}\text{'})+$bx$+$kx$=0$;$,$m$=2$kg$,$b$=$b$\_(1)=$b$\_(2)=4$N$($s$)/($m$),$ and k$=20($N$)/($m$)$

Take the Laplace Transform while using the above initial conditions to find X$($S$)$

Use the derivative rule in Laplace Transform.

answer it as soon as possible.