Consider this mass$-$spring$-$damper system:

The differential equation for this system is

$M{x}^{}(t)+B{x}^{}(t)+Kx(t)=F(t)$

It is known that $M=3kg,B=15\frac{(N)}{\frac{m}{sec}},$ and $K=18\frac{(N)}{(m)}.$

Determine response $"x(t)"$ when $x(0)=18,x^{}(0)=15,$ and $F(t)=180+156cos(2t)-300sin(4t).$ HINT: All of the numbers in your solution $"x(t)"$ should be INTEGERS.