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Differential Equations with Boundary Value Problems: Modern Methods and Applications
1 Introduction 1
2 First Order Differential Equations 44
3 Systems of Two First Order Equations 123
4 Second Order Linear Equations 214
5 The Laplace Transform 309
6 Systems of First Order Linear Equations 394
7 Nonlinear Differential Equations and
Stability 476
8 Series Solutions of Second Order Linear
Equations 541
9 Partial Differential Equations and Fourier
Series 621
10 Boundary Value Problems and Sturm-Liouville
Theory 716
A Matrices and Linear Algebra 787
B Complex Variables 833
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