D'Alembert's equation
In mathematics, d'Alembert's equation is a first order nonlinear ordinary differential equation, named after the French mathematician Jean le Rond d'Alembert. The equation reads as[1]
where . After differentiating once, and rearranging we have
The above equation is linear. When , d'Alembert's equation is reduced to Clairaut's equation.
References[]
- ^ Davis, Harold Thayer. Introduction to nonlinear differential and integral equations. Courier Corporation, 1962.
Categories:
- Equations of physics
- Mathematical physics
- Differential equations
- Ordinary differential equations
- Physics stubs
- Mathematical analysis stubs