d,Alembert,s Equation
المؤلف:
Ince, E. L
المصدر:
Ordinary Differential Equations. New York: Dover
الجزء والصفحة:
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11-6-2018
3012
d'Alembert's Equation
The ordinary differential equation
where
and 
and 
are given functions. This equation is sometimes also known as Lagrange's equation(Zwillinger 1997).
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.
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