Harmonic oscillator - motion equation

Material point with mass m[kg] is hanged via spring to ceiling. Spring has stiffness k[N/m]. After deflection from equilibrium position by Δx distance, material point started to vibrate harmonically. Motion equation will be designated for this case. Expressions for road, velocity and acceleration during harmonic motion will be also designated. Expression for harmonic motion's period will be also find. Motion equation is differential equation.