# Differential equations

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Educational level: this is a tertiary (university) resource. |

Subject classification: this is a mathematics resource. |

Completion status: this resource is just getting off the ground. Please feel welcome to help! |

Differential equations serve as mathematical models of physical processes. This course is intended to be an introduction to ordinary differential equations and their solutions.
A **differential equation** (DE) is an equation relating a function to its derivatives. If the function is of only one variable, we call the equation an **ordinary differential equation** (ODE). Equations relating the partial derivatives (See: Vector calculus) of a function of several variables are called **partial differential equations** (PDEs). Ordinary differential equations are much easier to solve than partial differential equations, so these will be our main focus.

## Syllabus[edit | edit source]

- Introduction to ordinary differential equations.
- First-order equations
- Higher-order linear equations
- Introduction to nonlinear equations