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1 Introduction 1
2 First-Order Differential Equations 24
3 Second-Order Linear Differential Equations 101
4 Higher-Order Linear Differential Equations 167
5 Series Solutions of Second-Order Linear Equations 187
6 The Laplace Transform 239
7 Systems of First-Order Linear Equations 279
8 Numerical Methods 352
9 Nonlinear Differential Equations and Stability 386
10 Partial Differential Equations and Fourier Series 461
11 Boundary Value Problems and Sturm-Liouville Theory 527
ANSWERS TO PROBLEMS 571
INDEX 602