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: