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The 11th edition of Elementary Differential Equations and Boundary Value Problems, like its predecessors, is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in-between. The authors have sought to combine a sound and accurate exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications. While the general structure of the book remains unchanged, some notable changes have been made to improve the clarity and readability of basic material about differential equations and their applications. In addition to expanded explanations, the 11th edition includes new problems, updated figures and examples to help motivate students. The book is written primarily for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year of study.
2. First-Order Differential Equations
3. Second-Order Linear Differential Equations
4. Higher-Order Linear Differential Equations
5. Series Solutions of Second-Order Linear Equations
6. The Laplace Transform
7. Systems of First-Order Linear Equations
8. Numerical Methods
9. Nonlinear Differential Equations and Stability
10. Partial Differential Equations and Fourier Series
11. Boundary Value Problems and Sturm–Liouville Theory