Differential Equations: Methods and Applications

• Main Author: Said-Houari, Belkacem (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: Compact Textbooks in Mathematics,
• Subjects: Mathematics.; Difference equations.; Functional equations.; Differential equations.; Difference and Functional Equations.; Ordinary Differential Equations.

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 equatio...

Table of 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.