Such equations arise naturally in physics since Newton's equations of motion
involve acceleration which is a second derivative.
We make some brief comments about such equations, show how they can be solved numerically with a spreadsheet, and discuss two specific examples: the forced harmonic oscillator (which also describes the behavior of an R L C circuit) and planetary motion.
33.1 General Comments
33.2 Solving Second Order Differential Equations
33.3 The Forced and Damped Oscillator
33.4 Planetary Motion