Offers an alternative to the 'rote' approach of presenting standard categories of differential equations accompanied by routine problem sets. The exercises presented amplify and provide perspective for the material, often giving readers opportunity for ingenuity. Little or no previous acquaintance with the subject is required to learn usage of techniques for constructing solutions of differential equations in this reprint volume.
Introduction; First-Order Linear Differential Equations; Second-Order Differential Equations; Power- Series Descriptions; The Wronskian; Eigenvalue Problems; The Second-Order Linear Nonhomogeneous Equation; Expansions in Eigenfunctions; The Perturbation Expansion; Asymptotic Series; Special Functions; The Laplace Transform; Rudiments of the Variational Calculus; Separation of Variables and Product Series Solutions of Partial Differential Equations; Nonlinear Differential Equations; More on Difference Equations; Numerical Methods; Singular Perturbation Methods.
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- ID: 9780898712650
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