## Mathematical Analysis## Differential Equations |

## What is an example of a differential equation? |

An example of a differential equation involves letting *y* be some function of the independent variable *t*. Then a differential equation relating *y* to one or more of its derivatives is as follows:

In this equation, the first derivative of the function *y* is equal to the product of *t*^{2} and the function *y* itself. This also implies that the stated relationship holds only for all *t* for which both the function and its first derivative are defined.