1. Consider the mass-spring systems with spring constant 1 and damping constant b. For which values of b is this system underdamped, overdamped, undamped, or critically damped?
2. We know the general solution of the undamped harmonic oscillator given by y" + y = 0. What happens if we apply a constant force equal to 1 to this system? That is, what is the general solution of the equation y" + y = 1? And what is the motion of the corresponding mass-spring?