is an equation
that defines a relationship between a function and its derivatives.
Many scientific laws are formulated in terms of differential equations.
In this introductory course you learn about basic types of differential equations and how to solve them.
Topics include: first order differential equations, linear equations, series solutions, partial differential equations and Fourier series.
The picture at the top of this page represents a solution to a nonlinear wave equation.
The image is taken from Peter Miller's homepage