Topic $3$: Oscillator Modeling. The problem is worth $25$ points. Find the motion of the mass$-$

spring system in Fig. $72$ with mass $m=0\mathrm{.}125kg,$ damping $c=0k\frac{g}{s}($no damping$),$ spring constant

$k=1\mathrm{.}125k\frac{g}{s^2}$ and driving force $r(t)=cos(t)-4sin(t),$ assuming zero initial displacement and velocity.

Write the equation of motion ius uino piunicu.

Solve the equation of motion $($find the displacement function of $t).$