Differential Equations: Methods and Applications / by Belkacem Said-Houari.

Format:

Book

Author/Creator:

Said-Houari, Belkacem, Author.

Series:

Compact Textbooks in Mathematics, 2296-4568

Language:

English

Subjects (All):

Difference equations.

Functional equations.

Differential equations.

Difference and Functional Equations.

Ordinary Differential Equations.

Local Subjects:

Difference and Functional Equations.

Ordinary Differential Equations.

Physical Description:

1 online resource (X, 212 p. 30 illus.)

Edition:

1st ed. 2015.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2015.

Language Note:

English

Summary:

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. .

Contents:

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Description based on publisher supplied metadata and other sources.

ISBN:

3-319-25735-8

OCLC:

1066183797