Synopses & Reviews
Details the methods for solving ordinary and partial differential equations. New material on limit cycles, the Lorenz equations and chaos has been added along with nearly 300 new problems. Also features expanded discussions of competing species and predator-prey problems plus extended treatment of phase plane analysis, qualitative methods and stability.
Table of Contents
First Order Differential Equations.
Second Order Linear Equations.
Higher Order Linear Equations.
Series Solutions of Second Order Linear Equations.
The Laplace Transform.
Systems of First Order Linear Equations.
Numerical Methods.
Nonlinear Differential Equations and Stability.
Partial Differential Equations and Fourier Series.
Boundary Value Problems and Sturm-Liouville Theory.
Answers to Problems.
Index.