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Unformatted text preview: investigating a system of two variables, say x and y , both of which are related to time. In these cases we can observe much about the solution trajectories from considering the direction Feld in the plane of x and y – which later we shall refer to as the phase plane . We shall investigate such differential equation systems in detail in chapter 4. 2.5 Separable functions Earlier we solved for the Frst-order linear homogeneous differential equation dx dt − kx = (2.18) for the initial condition x (0) = x (see equation (2.5)). We did this by Frst re-writing equation (2.18) in the form dx dt 1 x = k...
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This note was uploaded on 12/14/2011 for the course ECO 3023 taught by Professor Dr.gwartney during the Fall '11 term at FSU.
- Fall '11