December 2020
Intermediate to advanced
1064 pages
49h 13m
English
3.12 Solving Systems of Linear DEs
INTRODUCTION
We conclude this chapter as we did in Chapter 2 with systems of differential equations. But unlike Section 2.9, we will actually solve systems in the discussion that follows.
Coupled Systems/Coupled DEs
In Section 2.9 we briefly examined some mathematical models that were systems of linear and nonlinear first-order ODEs. In Section 3.8 we saw that the mathematical model describing the displacement of a mass on a single spring, current in a series circuit, and charge on a capacitor in a series circuit consisted of a single differential equation. When physical systems are coupled—for example, when ...
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