Differential Systems: Theory

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


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


Characteristic Vector Fundamental Solution Coefficient Matrix Differential System Constant Coefficient 
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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

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