Problem 4.83

A ball of mass $m$ can perform undamped harmonic oscillations about the point $x=0$ with natural frequency $\omega_{0}$. At the moment $t=0,$ when the ball was in equilibrium, a force $F_{x}=F_{0} \cos \omega t$ coinciding with the $x$ axis was applied to it. Find the law of forced oscillation $x(t)$ for that ball.