Differential Equations: Methods and Applications

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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.

Author(s): Belkacem Said-Houari (auth.)
Series: Compact Textbooks in Mathematics
Edition: 1
Publisher: Springer International Publishing
Year: 2015

Language: English
Pages: X, 212
Tags: Difference and Functional Equations; Ordinary Differential Equations

Front Matter....Pages i-x
Modelling and Definitions....Pages 1-13
First-Order Differential Equations....Pages 15-43
Linear Second-Order Equations....Pages 45-88
Laplace Transforms....Pages 89-124
Power Series Solution....Pages 125-140
Systems of Differential Equations....Pages 141-187
Qualitative Theory....Pages 189-207
Back Matter....Pages 209-212