Transcription of Ordinary Differential Equations and Dynamical Systems
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Ordinary Differential Equations and Dynamical Systems
Ordinary Differential Equations and Dynamical Systems Gerald Teschl This is a preliminary version of the book Ordinary Differential Equations and Dynamical Systems published by the American Mathematical Society (AMS). This preliminary version is made available with the permission of the AMS and may not be changed, edited, or reposted at any other website without explicit written permission from the author and the AMS. Author's preliminary version made available with permission of the publisher, the American Mathematical SocietyTo Susanne, Simon, and JakobAuthor's preliminary version made available with permission of the publisher, the American Mathematical SocietyAuthor's preliminary version made available with permission of the publisher, the American Mathematical SocietyContentsPrefacexiPart 1. Classical theoryChapter 1. Introduction3 Newton s equations3 Classification of Differential equations6 First order autonomous equations9 Finding explicit solutions13 Qualitative analysis of first-order equations20 Qualitative analysis of first-order periodic equations28 Chapter 2.
the permission of the AMS and may not be changed, edited, or reposted at any other website without . explicit written permission from the author and the AMS. Authors preliminary version made available with permission of the publisher, the American Mathematical Society
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