500 Examples and Problems of Applied Differential Equations (Problem Books in Mathematics)

✍ Scribed by Ravi P. Agarwal, Simona Hodis, Donal O’Regan

• Publisher: Springer
• Year: 2019
• Tongue: English
• Leaves: 393
• Series: Problem Books in Mathematics
• Edition: 1st ed. 2019
• Category: Library

✦ Synopsis

This book highlights an unprecedented number of real-life applications of differential equations together with the underlying theory and techniques. The problems and examples presented here touch on key topics in the discipline, including first order (linear and nonlinear) differential equations, second (and higher) order differential equations, first order differential systems, the Runge–Kutta method, and nonlinear boundary value problems. Applications include growth of bacterial colonies, commodity prices, suspension bridges, spreading rumors, modeling the shape of a tsunami, planetary motion, quantum mechanics, circulation of blood in blood vessels, price-demand-supply relations, predator-prey relations, and many more.

Upper undergraduate and graduate students in Mathematics, Physics and Engineering will find this volume particularly useful, both for independent study and as supplementary reading. While many problems can be solved at the undergraduate level, a number of challenging real-life applications have also been included as a way to motivate further research in this vast and fascinating field.

✦ Table of Contents

Preface
Contents
1 First-Order Linear Differential Equations
References
2 Some First-Order Nonlinear Differential Equations
References
3 Second- and Higher Order Differential Equations
References
4 Power Series Solutions
References
5 Systems of First-Order Differential Systems
References
6 Runge–Kutta Method
References
7 Stability Theory
References
8 Linear Boundary Value Problems
References
9 Nonlinear Boundary Value Problems
References
Author Index
Subject Index

✦ Subjects

Mathematics;Calculus; Differential equations