The damped harmonic oscillator motion is the motion of a mass object that is tied to a spring and given damping. The pendulum motion is a swinging motion due to the gravitational force response which is composed of a mass that is bound to a rope.

The damped harmonic oscillator equation is a linear differential equation, level two and degree one. This oscillator equation is stable at point (0, 0). The pendulum equation is a nonlinear differential equation, level two and degree one. The equation of this pendulum is unstable at the point (π, 0).

damped harmonic oscillator equation, pendulum, stable, unstable.