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＜E-Book＞
Differential Equations: Methods and Applications / by Belkacem Said-Houari
(Compact Textbooks in Mathematics. ISSN:2296455X)

Edition	1st ed. 2015.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2015
Language	English
Size	X, 212 p. 30 illus : online resource
Authors	*Said-Houari, Belkacem author SpringerLink (Online service)
Subjects	LCSH:Difference equations LCSH:Functional equations LCSH:Differential equations FREE:Difference and Functional Equations FREE:Differential Equations
Notes	Preface -- 1. Modelling and definitions -- 2. First-order differential equations -- 3. Linear second-order equations -- 4. Laplace Transforms -- 5. Power series solution -- 6. Systems of differential equations -- 7. Qualitative theory -- Index This book presents a variety of techniques for solving ordinary differential equations analytically and features a wealth of examples. Focusing on the modeling of real-world phenomena, it begins with a basic introduction to differential equations, followed by linear and nonlinear first order equations and a detailed treatment of the second order linear equations. After presenting solution methods for the Laplace transform and power series, it lastly presents systems of equations and offers an introduction to the stability theory. To help readers practice the theory covered, two types of exercises are provided: those that illustrate the general theory, and others designed to expand on the text material. Detailed solutions to all the exercises are included. The book is excellently suited for use as a textbook for an undergraduate class (of all disciplines) in ordinary differential equations.  HTTP:URL=https://doi.org/10.1007/978-3-319-25735-8

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