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Abstract

This book is about the study of systems of differential equations (DEs), or more precisely, systems of lst-order ordinary differential equations. As we shall see, any higher-order system of differential equations can be reduced to a 1st-order system and thus the study of first-order systems suffices for the general theory. Many systems of differential equations model the motion of something, and for this reason systems of DEs are often referred to as dynamical systems.

Keywords

Vector Field Phase Portrait Autonomous System Direction Field Integral Curve 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • David Betounes
    • 1
  1. 1.Mathematics DepartmentUniversity of Southern MississippiHattiesburgUSA

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