Discuss how you would fix up each of the following functions so that Theorem 7.3.2 could be
Question:
Discuss how you would fix up each of the following functions so that Theorem 7.3.2 could be used directly to find the given Laplace transform. Check your answers using (16) of this section.
(a) ℒ {(2t + 1)U(t - 1)}
(b) ℒ{et U(t – 5)}
(c) ℒ{cos t U(t – )}
(d) ℒ{(t2 – 3t)U(t – 2) }
Theorem 7.3.2
If F(s) ℒ{f(t)} and a > 0, then
Transcribed Image Text:
L{f(t – a) Ut – a)) = e-asF(s).
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Here ftaft12t1 ft12 2t3 Thus ftft2t3 L ft 2 L t 3L 1 L ft 2L t 3 L 1 2 3 Sa F S Now using the...View the full answer
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
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