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Table of Contents
Chapter 1: Essentials of linear algebra
Chapter 2: First-order differential equations
Chapter 3: Linear systems of differential equations
Chapter 4: Higher order differential equations
Chapter 5: Laplace transforms
Chapter 6: Nonlinear systems of differential equations
Chapter 7: Numerical methods for differential equations
Chapter 8: Series solutions for differential equations
Appendix A: Review of integration techniques
Appendix B: Complex numbers
Appendix C: Roots of polynomials
Appendix D: Linear transformations
Appendix E: Solutions to selected exercises.
Chapter 2: First-order differential equations
Chapter 3: Linear systems of differential equations
Chapter 4: Higher order differential equations
Chapter 5: Laplace transforms
Chapter 6: Nonlinear systems of differential equations
Chapter 7: Numerical methods for differential equations
Chapter 8: Series solutions for differential equations
Appendix A: Review of integration techniques
Appendix B: Complex numbers
Appendix C: Roots of polynomials
Appendix D: Linear transformations
Appendix E: Solutions to selected exercises.