Скачать или смотреть First Order Difference Equations - Ordinary Differential Equations | Lecture 11

In the previous two lectures we have looked at iterative procedures. In this lecture we examine these iterative procedures, termed difference equations, from a theoretical perspective. We describe the basic terminology, compare their solutions to those of first order ODEs, and provide solutions to general linear equations. We then work through an example of a nonlinear difference equation, the logistic model, where it is demonstrated how to draw a cobweb diagram. Cobweb diagrams are the difference equation analogues of phase line diagrams and allow one to understand the dynamics of the equation without actually solving it explicitly.

This course is taught by Jason Bramburger for Concordia University.

More information on the instructor: https://hybrid.concordia.ca/jbrambur/

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