# Chapter 33: Second Order Differential Equations

##

## Introduction

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.

## Topics

33.1 General Comments

33.2 Solving Second Order Differential
Equations

33.3 The Forced and Damped Oscillator

33.4 Planetary Motion