ABSTRACT
When measuring time continuously, we describe change with a differential equation. Differential equations are formed in the same basic way as difference equations. To illustrate how differential equations are formed, this chapter describes the Newton’s Law of Cooling. It solves differential equations by using a technique called Euler’s Method to numerically approximate solution curves and then graphically analyze the results. Euler’s method is a technique for approximating points on the solution curve of a differential equation. A system of differential equations is a set of two or more related differential equations involving two or more unknown functions. The chapter models the populations of two species, foxes and wolves, with a system of two differential equations and graphically analyze the behavior of the system using Euler’s method. It also provides a discussion on Lanchester combat models and Runge-Kutta methods.
