Differential Systems: Theory

  • Clay C. Ross
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

In this chapter, we study systems of ordinary differential equations. Our study will focus on first-order systems. These have the form
$$\left\{ {\begin{array}{*{20}{c}} {{{y}_{1}}^{\prime } = {{f}_{1}}(x,{{y}_{1}},{{y}_{2}},...,{{y}_{n}})} \\ {{{y}_{2}}^{\prime } = {{f}_{2}}(x,{{y}_{1}},{{y}_{2}},...,{{y}_{n}})} \\ {...} \\ {{{y}_{n}}^{\prime } = {{f}_{n}}(x,{{y}_{1}},{{y}_{2}},...,{{y}_{n}})} \\ \end{array} } \right.$$
.

Keywords

Characteristic Vector Fundamental Solution Coefficient Matrix Differential System Constant Coefficient 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Clay C. Ross
    • 1
  1. 1.Department of MathematicsThe University of the SouthSewaneeUSA

Personalised recommendations