This supplementary text has been designed to encourage the student to create and explore graphs of solutions, and to solve open-ended exercises that reinforce the concepts of ordinary differential equations.
目次
First-Order Equations: Solution and Modeling Techniques
Initial Value Problems and Their Approximate Solutions
Second-Order Differential Equations
Applications of Second-Order Differential Equations
The Laplace Transform
Introduction to Systems
Linear Systems of Differential Equations
Nonlinear Systems: Stability
Nonlinear Systems: Cycles, Bifurcations, and Chaos
Fourier Series and Separation of Variables
Series Solutions: Bessel Functions, Legendre Polynomials