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Partial table of contents: FUNDAMENTAL METHODS AND APPLICATIONS. First-Order Equations for Which Exact Solutions Are Obtainable. Explicit Methods of Solving Higher-Order Linear Differential Equations. Series Solutions of Linear Differential Equations. Approximate Methods of Solving First-Order Equations. FUNDAMENTAL THEORY AND FURTHER METHODS. Existence and Uniqueness Theory. Sturm-Liouville Boundary-Value Problems and Fourier Series. Partial Differential Equations. Appendices. Suggested Reading. Answers. Index.