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System of Two Linear Differential Equations

Chapter
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Part of the Springer Undergraduate Texts in Mathematics and Technology book series (SUMAT)

Abstract

In Chapter 5 we shall model the interaction between predator y and prey x by a system of two differential equations: the differential equation for x will involve the predator y and the differential equation for y will involve the prey x. The functions f(x, y) and g(x, y) will generally be nonlinear functions. We shall develop the theory in two stages: The first stage to be taken up in this chapter deals with the special case where f and g are linear functions, and the second stage, to be taken up in Chapter 4, will extend the theory to nonlinear functions f and g. Before we start, with a linear system of two equations, however, it will be instructive to consider one linear differential equations of the second order.

Keywords

Order Linear Differential Equation Inhomogeneous Linear System Real-valued Solution Pure Imaginary Number Axial Dimension 
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.

Supplementary material

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Ohio State UniversityColumbusUSA

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