## Mathematical Analysis## Differential Equations |

## What are some first-order differential equations? |

A first-order differential equation is one involving the unknown function *y*, its derivative *y*', and the variable *x.* As seen above, these types of equations are usually referred to as explicit differential equations.

There are several types of first-order differential equations, including separable, Bernoulli, linear, and homogeneous (for explanations of the last two, see below). A first-order differential equation takes the form: