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Differential
Equations (92.236)
Illustrative Applications
Two
of the primary goals of this course are to gain some experience
in developing mathematical models for a variety of common physical
systems from basic principles (i.e. basic mass, energy, particle,
and force balances, etc.) and to develop the ability to solve and
interpret the ordinary differential equations that result from the
modeling of these systems. To help you achieve these goals, a series
of applications that illustrate, in some detail, what we mean by
modeling, solution, and interpretation
has been developed. These examples have been included in a series
of pdf files that cover a variety of topics. These have been organized
as follows:
First
Order Systems
Second
Order Linear Systems
Second
Order Nonlinear Systems
You
are expected to carefully study all these examples and to become
familiar with the basic problemsolving techniques needed to analyze
problems of this type. Achieving these goals is not easy, but I
am sure that with a little perseverance, you will eventually master
this part of the course. Good Luck  and don't hesitate to ask
any questions you may have concerning these illustrative examples.
Last
updated by Prof. John R. White (January 2006)
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