# Second-Order Ordinary Differential Equation

A second-order ordinary differential equation is an ordinary differential equation that contains derivatives of second order but of no higher orders.

Second-order ordinary differential equation is a college-level concept that would be first encountered in a differential equations course.

### Examples

Bessel Function of the First Kind: | A Bessel function of the first kind is a solution to a particular nonlinear second-order differential equation. Bessel functions appear in many physics applications when solving classical partial differential equations in cylindrical coordinates. |

### Prerequisites

Derivative: | A derivative is the infinitesimal rate of change in a function with respect to one of its parameters. |

Differential Equation: | A differential equation is an equation that involves the derivatives of a function as well as the function itself. |

Ordinary Differential Equation: | An equality involving a function and its derivatives. |