d'Alembert's Equation
The ordinary differential equation
| y=xf(y^')+g(y^'), |
where y^'=dy/dx and f and g are given functions. This equation is sometimes also known as Lagrange's equation (Zwillinger 1997).
See also
Lagrange's EquationExplore with Wolfram|Alpha
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References
Ince, E. L. Ordinary Differential Equations. New York: Dover, pp. 38-39, 1956.Murphy, G. M. Ordinary Differential Equations and Their Solution. Princeton, NJ: Van Nostrand, pp. 65-66, 1960.Valiron, G. The Geometric Theory of Ordinary Differential Equations and Algebraic Functions. Brookline, MA: Math. Sci. Press, pp. 217-218, 1950.Zwillinger, D. "Lagrange's Equation." §II.A.69 in Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, pp. 120 and 265-268, 1997.Referenced on Wolfram|Alpha
d'Alembert's EquationCite this as:
Weisstein, Eric W. "d'Alembert's Equation." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/dAlembertsEquation.html