December 2020
Intermediate to advanced
1064 pages
49h 13m
English
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CHAPTER 4
The Laplace Transform
4.1 Definition of the Laplace Transform
4.2 Inverse Transforms and Transforms of Derivatives
4.4 Additional Operational Properties
4.6 Systems of Linear Differential Equations
In Chapter 3 we solved linear mathematical models such as mx″ + βx′ + κx = f(t) and Lq″ + Rq′ + q/C = E(t) where the driving functions f(t) and E(t) were continuous. However, in practice, discontinuous driving functions are not uncommon. Although we solved piecewise linear DEs in Chapter 2, the Laplace transform discussed in this chapter is ...
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