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单词 Differential Equation
释义

Differential Equation

An equation which involves the Derivatives of a function as well as the function itself. IfPartial Derivatives are involved, the equation is called a Partial DifferentialEquation; if only ordinary Derivatives are present, the equation is called an OrdinaryDifferential Equation. Differential equations play an extremely important and useful role in applied math, engineering,and physics, and much mathematical and numerical machinery has been developed for the solution of differential equations.

See also Integral Equation, Ordinary Differential Equation, Partial Differential Equation


References

Arfken, G. ``Differential Equations.'' Ch. 8 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 437-496, 1985.

Dormand, J. R. Numerical Methods for Differential Equations: A Computational Approach. Boca Raton, FL: CRC Press, 1996.

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