Schaum's outline of theory and problems of differential equations
著者
書誌事項
Schaum's outline of theory and problems of differential equations
（Schaum's outline series）
McGraw-Hill, c1994
2nd ed
- タイトル別名
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Differential equations
Theory and problems of differentail equations
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注記
Updated ed. of Schaum's outline of modern introductory differential equations. c1973
Includes index
内容説明・目次
内容説明
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目次
Basic Concepts.Classification of First-Order Differential Equations.Separable First-Order Differential Equations.Exact First-Order Differential Equations.Linear First-Order Differential Equations.Applications of First-Order Differential Equations.Linear Differential Equations: Theory of Solutions.Second-Order Linear Homogeneous Differential Equations with Constant Coefficients.nTH-Order Linear Homogeneous Differential Equations with Constant Coefficients.The Method of Undetermined Coefficients.Variation of Parameters.Initial-Value Problems.Applications of Second-Order Linear Differential Equations.The Laplace Transform.The Inverse Laplace Transform.Convolutions and the Unit Step Function.Solutions of Linear Systems by Laplace Transform.Convolutions and the Unit Step Function.Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transform.Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transform.Solutions of Linear Systems by Laplace Transform.Matrices.eAt.Reduction of Linear Differential Equations to a First-Order System.Solutions of Linear Differential Equations with Constant Coefficients by Matrix Methods.Linear Differential Equations with Variable Coefficients.Regular Singular Points and the Method of Frobenius.Gamma and Bessel Functions.Graphical Methods for Solving First-Order Differential Equations.Numerical Methods for Solving First-Order Differential Equations.Numerical Methods for Systems.Second-Order Boundary-Value Problems.Eigenfunction Expansions.Appendix: Laplace Transforms.Answers to Supplementary Problems.
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