A Modern Introduction to Differential Equations presents a solid yet highly accessible introduction to differential equations, developing the concepts from a dynamical systems perspective and employing technology to treat topics graphically, numerically and analytically. This text is designed to be appropriate for a side variety of students and exists as natural successor to any modern calculus sequence.
1. Introduction to Differential Equations
2. First-Order Differential Equations
3. The Numerical Approximation of Solutions
4. Second- and Higher-Order Equations
5. Systems of Linear Differential Equations
6. The Laplace Transform
7. Systems of Nonlinear Differential Equations