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Elementary Differential Equations With Applications
1 Introduction , 2-17
2 First Order Equations , 18-59
3 Linear Differential Equations , 60-137
4 Difference Equations , 138-175
5 Power Series Solutions of Differential Equations , 176-225
6 Laplace Transforms , 226-279
7 Numerical Methods , 280-307
8 Matrices and Systems of Linear First Order Equations , 308-373
9 NonLinear Equations and Stability , 374-419
10 The Existence and Uniqueness of Solutions , 420-439
11 Fourier Series and Boundary Value Problems , 440-491
12 Partial Differential Equations , 492-532
Appendix 1 Integral Tables , A1-A4
Appendix 2 Laplace Transforms , A5-A8
Appendix 3 Solving Differential Equations with a Programmable
Calculator , A9-A12
Appendix 4 Determinants , A13-A20.
Solutions to Odd Numbered Exercises , S1-S38
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