D'Alembert equation
From Encyclopedia of Mathematics
A differential equation of the form
 |
where 
and 
are the functions to be differentiated; first studied in 1748 by J. d'Alembert. Also known as the Lagrange equation.
Comments
For 
the d'Alembert equation specializes to the Clairaut equation. For some results on (solving) the d'Alembert equation cf., e.g., [a1].
References
| [a1] | E.L. Ince, "Integration of ordinary differential equations" , Oliver & Boyd (1963) pp. 43ff |
How to Cite This Entry:
D'Alembert equation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=D%27Alembert_equation&oldid=32805
D'Alembert equation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=D%27Alembert_equation&oldid=32805
This article was adapted from an original article by BSE-2 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article