A mass m=400 g is connected to a spring with a spring constant k=1.6 N/m. The oscillator is subject to a retarding force proportional to the velocity of the oscillator. The damping constant is B=0.5 s^-1. (B is beta).
Write down the differential equation of motion for this damped harmonic oscillator with m,k, and B and fully define parameters, and what is the solution to the time-dependent motion?