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Systems of Differential Equations

  • J. David Logan
Chapter
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

Up until now we have focused upon a single differential equation with one unknown state function. Yet, most physical systems require several state variables to characterize them. Therefore, we are naturally led to study several differential equations for several unknowns. Typically, we expect that if there are n unknown states, then there will be n differential equations, and each DE will contain many of the unknown state functions. Thus the equations are coupled together in the same way as simultaneous systems of algebraic equations. If there are n simultaneous differential equations in n unknowns, we call the set of equations an n-dimensional system.

Keywords

Phase Plane Equilibrium Solution Erential Equation Computer Algebra System Solution 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,LLC 2010

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Nebraska—LincolnLincolnUSA

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