Elementary Differential Equations and Boundary Value Problems

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Written from the perspective of the applied mathematician, the latest edition of this bestselling book focuses on the theory and practical applications of Differential Equations to engineering and the sciences. Emphasis is placed on the methods of solution, analysis, and approximation. Use of technology, illustrations, and problem sets help readers develop an intuitive understanding of the material. Historical footnotes trace the development of the discipline and identify outstanding individual contributions. This book builds the foundation for anyone who needs to learn differential equations and then progress to more advanced studies About The Author William E. Boyce received his B.A. degree in Mathematics from Rhodes College, and his M.S. and Ph.D. degrees in Mathematics from Carnegie-Mellon University. He is a member of the American Mathematical Society, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics. He is currently the Edward P. Hamilton Distinguished Professor Emeritus of Science Education (Department of Mathematical Sciences) at Rensselaer. He is the author of numerous technical papers in boundary value problems and random differential equations and their applications. He is the author of several textbooks including two differential equations texts, and is the coauthor (with M.H. Holmes, J.G. Ecker, andW.L. Siegmann) of a text on using Maple to explore Calculus. Table Of Contents Preface M. Chapter 1 Introduction 1 Chapter 2 First Order Differential Equations Chapter 3 Second Order Linear Equations 135 Chapter 4 Higher Order Linear Equations Chapter 5 Series Solutions of Second Order Linear Equations Chapter 6 The Laplace Transform Chapter 7 Systems of First Order Linear Equations Chapter 8 Numerical Methods Chapter 9 Nonlinear Differential Equations and Stability Chapter10 Partial Differential Equations and Fourier Series Chapter 11 Boundary Value Problems and Sturm-Liouville Theory Answers to Problems Index