Provides a general framework useful for the application of the theory of
ODEs, as well as a sophisticated use of Mathematica software for the
solution of problems related to ODEs. Through extensive worked examples
and computer program demonstrations using Mathematica, the authors cover
phase portrait, approximate solutions, periodic orbits, stability,
bifurcation, and boundary problems. For graduate students, researchers,
and practitioners in applied mathematics and engineering seeking an
understanding of using ODEs in modeling physical, biological, and
economic phenomena.