Introduction to Mathematical Biology pp 29-42 | Cite as

# System of Two Linear Differential Equations

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## 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## Supplementary material

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