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Differential equationsmethods and ap...

Said-Houari, Belkacem.

Differential equationsmethods and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Differential equationsby Belkacem Said-Houari.
Reminder of title:	methods and applications /
Author:	Said-Houari, Belkacem.
Published:	Cham :Springer International Publishing :2015.
Description:	x, 212 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Differential equations.
Online resource:	http://dx.doi.org/10.1007/978-3-319-25735-8
ISBN:	9783319257358$q(electronic bk.)

Differential equationsmethods and applications /
Said-Houari, Belkacem.

Differential equationsmethods and applications /[electronic resource] :by Belkacem Said-Houari. - Cham :Springer International Publishing :2015. - x, 212 p. :ill., digital ;24 cm. - Compact textbooks in mathematics,2296-4568. - Compact textbooks in mathematics..

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.

ISBN: 9783319257358$q(electronic bk.)

Standard No.: 10.1007/978-3-319-25735-8doiSubjects--Topical Terms:

183925
Differential equations.

LC Class. No.: QA372

Dewey Class. No.: 515.352

Differential equationsmethods and applications /
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490 1 $a Compact textbooks in mathematics, $x 2296-4568
505 0 $a 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.
520 $a 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.
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