In mathematics, d'Alembert's equation, sometimes also known as Lagrange's equation, is a first order nonlinear ordinary differential equation, named after the French mathematician Jean le Rond d'Alembert. The equation reads asDavis, Harold Thayer. Introduction to nonlinear differential and integral equations. Courier Corporation, 1962.
After differentiating once, and rearranging with , we have
The above equation is a first order linear differential equation:
as the general form:
When , d'Alembert's equation is reduced to Clairaut's equation.
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