Abstract
Linear differential equations with constant coefficients are an important area of application of the Laplace transform. As a prelude to the discussion of such problems we discuss first two particularly simple examples, since the connection with the classical methods of solution is readily apparent in these cases.
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Footnotes
A thorough treatment of the material in this section maybe found in DOETSCH (1971), Ch. 3.
A very large number of applications may be found in Thompson (1957), Ch. 3.
See, for example, Kaplan (1962) and van der Pol & Bremmer (1955), Ch. 8.
Logarithmic terms appear in the second solution whenever ν is an integer. See Section 20.6.
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© 1985 Springer Science+Business Media New York
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Davies, B. (1985). Ordinary Differential Equations. In: Integral Transforms and their Applications. Applied Mathematical Sciences, vol 25. Springer, New York, NY. https://doi.org/10.1007/978-1-4899-2691-3_3
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DOI: https://doi.org/10.1007/978-1-4899-2691-3_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96080-7
Online ISBN: 978-1-4899-2691-3
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