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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Systems of Equationsclude change of basis, canonical (standard) forms, eigenvalues and eigenvectors, and functions of matrices. The availability of this array of algebraic machinery allows constant coefficient systems to be “completely analyzed”, with their solutions and properties categorized and described.

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Plotting With Maple lower level to the Maple plotting facilities that can be used through the auspices of the display procedure. If this is used, it is possible to exercise more control on what gets plotted, when the default behavior of plot turns out to be not exactly what is wanted.

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Runge-Kutta Designsper” routines to accomplish the desired end. When the problem at hand is to derive a set of order (truncation accuracy) condition for Runge-Kutta schemes, more serious Maple programming is required. Rather than “high-level” Maple routines being available, it is largely the “low level” expression manipulation operations that are used.

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https://doi.org/10.1007/978-3-663-05423-8Some 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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