What is a Differential Equation?

Hüseyin Koçak
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Hüseyin Koçak: Brown University, Lefschetz Center for Dynamical Systems Division of Applied Mathematics

Chapter Chapter 1 in Differential and Difference Equations through Computer Experiments, 1989, pp 3-11 from Springer

Abstract: Abstract The purpose of this chapter is to give an illustrated summary of some of the basic analytical and geometric ideas from ordinary differential equations (see the figures at the end of the chapter). For a more leisurely exposition of this material, you can consult sections 3.1, 4.1, and 4.4 of Braun [1983], for example, or sections 2.3, 7.1, and 9.2 of Boyce & DiPrima [1977]. You may also enjoy reading Chapter 1 of Hirsch & Smale [1974].

Keywords: Phase Portrait; Solution Curve; Monic Oscillator; Linear Harmonic Oscillator; Directed Line Segment (search for similar items in EconPapers)
Date: 1989
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DOI: 10.1007/978-1-4612-3610-8_1

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