please solve it by hand and matlab by using LIVE SCRIPT

Consider the system $2x^{\text{'}\text{'}}+12x^2+2x=0$ for $x_0=1mm,v_0=0m\frac{m}{s}.$ Is this system

overdamped, underdamped or critically damped? Compute and plot the solution. Which

root dominates as time goes on $($that is$,$ one root will die out quickly and the other will

persist$),$ why?

Plot $x(t)$ for a damped system of $($undamped$)$ natural frequency ${}_n=3ra\frac{d}{s}$ and initial

conditions $x_0=1mm,v_0=1m\frac{m}{s},$ for the following values of the damping ratio: $=0$

and $=1.$