# Category:Ordinary Differential Equations

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This category contains results about **Ordinary Differential Equations**.

Definitions specific to this category can be found in Definitions/Ordinary Differential Equations.

An **ordinary differential equation** (abbreviated **O.D.E.** or **ODE**) is a **differential equation** which has exactly one independent variable.

All the derivatives occurring in it are therefore ordinary.

The general **ODE** of order $n$ is:

- $\map f {x, y, \dfrac {\d x} {\d y}, \dfrac {\d^2 x} {\d y^2}, \ldots, \dfrac {\d^n x} {\d y^n} } = 0$

or, using the prime notation:

- $\map f {x, y, y', y'', \ldots, y^{\paren n} } = 0$

## Subcategories

This category has the following 14 subcategories, out of 14 total.

## Pages in category "Ordinary Differential Equations"

The following 4 pages are in this category, out of 4 total.