System of Two Linear Differential Equations
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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.
KeywordsOrder Linear Differential Equation Inhomogeneous Linear System Real-valued Solution Pure Imaginary Number Axial Dimension
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