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.
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.