## Mathematical Analysis## Differential Equations |

## What are the “solutions” relative to differential equations? |

There are three types of “solutions” when discussing differential equations:

*General solution*—This includes the solutions obtained from integration of the differential equations. In particular, the general solution of an *n*th order ordinary differential equation has *n* arbitrary constants from integrating *n* times.

*Singular solution*—Solutions that can’t be expressed by the general solutions. *Particular solution*—Solutions obtained from giving specific values to the arbitrary constants in the general solution.