附註:Includes index.
Basic Concepts and Classifying Differential Equations -- Solutions of First-Order Differential Equations -- Applications of First-Order Differential Equations -- Linear Differential Equations: Theory of Solutions -- Solutions of Linear Homogeneous Differential Equations with Constant Coefficients -- Solutions of Linear Nonhomogeneous Equations and Initial-Value Problems -- Applications of Second-Order Linear Differential Equations -- Laplace Transforms and Inverse Laplace Transforms -- Solutions by Laplace Transforms -- Matrices and the Matrix Exponential -- Solutions of Linear Differential Equations with Constant Coefficients by Matrix Methods -- Power Series Solutions -- Gamma and Bessel Functions -- Numerical Methods for First-Order Differential Equations -- Boundary-Value Problems and Fourier Series -- Appendix: Laplace Transforms -- Index.
