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1 Essentials of linear algebra 3
2 First-order differential equations 127
3 Linear systems of differential equations 187
4 Higher order differential equations 273
5 Laplace transforms 329
6 Nonlinear systems of differential equations 387
7 Numerical methods for differential equations 421
8 Series solutions for differential equations 453
Appendix A Review of integration techniques 493
Appendix B Complex numbers 503
Appendix C Roots of polynomials 509
Appendix D Linear transformations 513
Appendix E Solutions to selected exercises 523
Index 549
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Differential Equations with Linear Algebra,
Linearity plays a critical role in the study of elementary differential equations; linear differential equations, especially systems thereof, demonstrate a fundamental application of linear algebra. In Differential Equations with Linear Algebra
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Differential Equations with Linear Algebra,
Linearity plays a critical role in the study of elementary differential equations; linear differential equations, especially systems thereof, demonstrate a fundamental application of linear algebra. In Differential Equations with Linear Algebra
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