Ordinary differential equations

Preface

1. First-Order Differential Equations

2. Higher-Order Linear Equations

3. Applications of Higher-Order Equations

4. Systems of Linear Differential Equations

5. Laplace Transform

6. Series Solutions

7. Systems of Nonlinear Differential Equations

Appendix A. Review of Partial Fraction Expansions

Appendix B. Review of Determinants

Appendix C. Review of Gauss Elimination

Appendix D. Review of Complex Numbers and the Complex Plane

Answers to Exercises

Index.