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Differential equations = methods and...

Said-Houari, Belkacem.

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Differential equations = methods and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Differential equations/ by 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.
[NT 15003449]:	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.
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 equations = methods 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:

517952
Differential equations.

LC Class. No.: QA372

Dewey Class. No.: 515.352

Differential equations = methods and applications /
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100 1 $a Said-Houari, Belkacem. $3 2165783
245 1 0 $a Differential equations $h [electronic resource] : $b methods and applications / $c by Belkacem Said-Houari.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a x, 212 p. : $b ill., digital ; $c 24 cm.
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.
650 0 $a Differential equations. $3 517952
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Difference and Functional Equations. $3 897290
650 2 4 $a Ordinary Differential Equations. $3 891264
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Compact textbooks in mathematics. $3 2107015
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-25735-8
950 $a Mathematics and Statistics (Springer-11649)