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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First Order Equationsn the plane, and there are many examples for which explicit solutions are possible. Beyond the fact that the problem leading to the equation may be of interest, such exact solutions are a useful aid when numerical solution methods are considered. If one has exact solutions for sample problems, it is

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Laplace Transform Methodsoefficients. The hallmark of operational methods is supposed to be that a “hard” problem is replaced by an “easier” equivalent calculation. In the case of differential equations the operational effect is to replace a differential equation problem with an algebraic one.

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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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Stabilitycorporate control devices of various sorts, and lives literally depend on the stability properties of such designs. Analysis of such stability problems began with Maxwell’s investigation of steam engine governors, and has continued to develop along with the increasing sophistication of control syste

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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 “l(fā)ow level” expression man

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