Examples for

# Differential Equations

A differential equation is an equation involving a function and its derivatives. It can be referred to as an ordinary differential equation (ODE) or a partial differential equation (PDE) depending on whether or not partial derivatives are involved. Wolfram|Alpha can solve many problems under this important branch of mathematics, including solving ODEs, finding an ODE a function satisfies and solving an ODE using a slew of numerical methods.

### Ordinary Differential Equations

Solve an ODE or find an ODE a function satisfies.

#### Solve a linear ordinary differential equation:

#### Specify initial values:

#### Solve an inhomogeneous equation:

#### Solve an equation involving a parameter:

#### Solve a nonlinear equation:

#### Find differential equations satisfied by a given function:

Numerically solve a differential equation using a variety of classical methods.