For introductory courses in Differential Equations.
Differential Equations and Boundary Value Problems, 5th Edition, (PDF), is the popular text by these renowned authors that blends the traditional algebra problem-solving skills with the geometric visualization and conceptual development of a modern differential equations course that is vital to science and engineering students. It shows the new qualitative approach that is changing the learning of elementary differential equations, including the extensive availability of scientific computing environments like Mathematica, Maple, and MATLAB. Its emphasis balances the traditional manual methods with the new computer-based methods that emphasize qualitative phenomena and make accessible a wider range of more realistic applications. Seldom-used topics have been cut and new topics added: it begins and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, problems, examples, and applications throughout the text.
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