A mass$-$spring$-$damper system is modeled by the following equation:

$m\frac{d^{2}x}{d{t}^2}+c\frac{dx}{dt}+kx(t)=F(t)$

where $m=5kg$;$c=3N\frac{s}{m}$;$k=10\frac{N}{a}nd(t)$ is an external force applied to the system. Find the transfer function $G(l)=\frac{x(b)}{F(j)},$ and discuss how the values of $m,C,$ and $K$ affect the system dynamics.