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Differential Equations: Methods and Applications

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Differential Equations: Methods and Applications/ by Belkacem Said-Houari.
Author:	Said-Houari, Belkacem.
Description:	X, 212 p. 30 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Difference equations. -
Online resource:	https://doi.org/10.1007/978-3-319-25735-8
ISBN:	9783319257358

Differential Equations: Methods and Applications
Said-Houari, Belkacem.

Differential Equations: Methods and Applications[electronic resource] /by Belkacem Said-Houari. - 1st ed. 2015. - X, 212 p. 30 illus.online resource. - 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

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

527665
Difference equations.

LC Class. No.: QA431

Dewey Class. No.: 515.625

Differential Equations: Methods and Applications
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