Consider the laplace transform of
(a) Referring to problem
(b) Let
(c) Show that
It is possible to show that
Hence,
(d) Show that
36. The Gamma Function. The gamma function is defined by
The integral converges for all
(e) Show that, for
(f) Show that
(g) If
Since
(h) Show that, for
Thus
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Differential Equations: An Introduction to Modern Methods and Applications
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage