Fundamentals of differential equations

Abstract

1. Introduction 2. First-Order Differential Equations 3. Mathematical Models and Numerical Methods Involving First-Order Equations 4. Linear Second-Order Equations 5. Introduction to Systems and Phase Plane Analysis 6. Theory of Higher-Order Linear Differential Equations 7. Laplace Transforms 8. Series Solutions of Differential Equations 9. Matrix Methods for Linear Systems 10. Partial Differential Equations