Ordinary Differential Equations
Linear differential equations with constant coefficients, and (to a lesser extent) with polynomial coefficients, are an important area of application of the Laplace transform.1 We consider mainly the constant coefficient case in this chapter, with an emphasis on systems of differential equations and their stability, questions of great interest in systems engineering and control theory. Bessel functions are treated in a short section as an example of an equation with polynomial coefficients. This topic is taken up in some detail in Chapter 18, in a somewhat more flexible framework.
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