Introduction to Ordinary Differential Equations with Mathematica

This text is part of a course on ordinary differential equations that offers a multimedia approach to the subject. The book can be used with or without Mathematica software.

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This text covers the standard topics in first and second order linear equations, power series solutions, first order systems, Laplace transforms, numerical methods and stability of nonlinear systems. Liberal use is made of programs in Mathematica, both for symbolic computations and graphical displays. The programs are described in separate sections, as well as in the accompanying Mathematica notebooks. However, the text has been designed so that it can be read with or without Mathematica and no previous knowledge of Mathematica is required. The CD-ROM contains the Mathematica solution of worked examples, a selection of various Mathematica notebooks, Mathematica movies and sample labs for students.