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Contents
Chapter 1 Basic Concepts and Classifying Differential Equations 1
Chapter 2 Solutions of First-Order Differential Equations 8
Chapter 3 Applications of First-Order Differential Equations 20
Chapter 4 Linear Differential Equations: Theory of Solutions 29
Chapter 5 Solutions of Linear Homogeneous Differential Equations with Constant Coefficients 33
Chapter 6 Solutions of Linear Nonhomogeneous Equations
and Initial-Value Problems 39
Chapter 7 Applications of Second-Order Linear Differential Equations 47
Chapter 8 Laplace Transforms and Inverse Laplace Transforms 55
Chapter 9 Solutions by Laplace Transforms 65
Chapter 10 Matrices and the Matrix Exponential 69
Chapter 11 Solutions of Linear Differential Equations with Constant Coefficients by Matrix Methods 78
Chapter 12 Power Series Solutions 85
Chapter 13 Gamma and Bessel Functions 98
Chapter 14 Numerical Methods 104
Chapter 15 Boundary-Value Problems and Fourier Series 115
[此贴子已经被作者于2007-3-26 21:12:18编辑过]
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