Titlebook: Differential Equations with Maple; An Interactive Appro Jon H. Davis Textbook 2001 Springer Science+Business Media New York 2001 Maple.appl

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James R. Arnold,Robert L. SchuchFrom the discussion of earlier chapters, it should be clear that Maple can be treated both as a high level symbolic calculator, and a program development environment with a particularly wide and powerful subroutine library. In this part we discuss applications of both aspects of Maple.

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Higher Order Differential EquationsSome ordinary differential equations “arrive” in a form involving derivatives of higher than first order. A conspicuous source of second order problems is mechanics, where the form of Newton’s second law leads directly to a second order equation. An example of this is the harmonic oscillator equation coming from a spring mass system.

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Partial Differential EquationsMany physical problems involve quantities that depend on more than one variable. The temperature within a “l(fā)arge”. solid body of conducting material varies with both time and location within the material. When such problems are modeled, what results is a differential equation involving partial derivatives, or a ...

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Introduction to Maple in understanding differential equations as well as many other areas of mathematics. Maple as distributed actually contains a large number of “cookbook” routines, both numerical and symbolic, that with suitable coaxing will produce “answers” to various standard problems.

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Introduction to Differential Equationsswerable metaphysical questions, but the proximate cause is the fact that most physical laws (at least from the time of Newton and Leibniz with the invention of calculus) are phrased as statements about the rates of change of some quantity of interest. A mathematical statement of such a law will con