Discuss how you would fix up each of the following functions so that Theorem 7.3.2 could be

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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{e^t U(t – 5)}

(d) ℒ{(t² – 3t)U(t – 2) }

Theorem 7.3.2

If F(s) ℒ{f(t)} and a > 0, then

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A First Course in Differential Equations with Modeling Applications

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Discuss how you would fix up each of the following functions so that Theorem 7.3.2 could be

Question:

L{f(t – a) Ut – a)) = e-asF(s).

Step by Step Answer:

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

A First Course in Differential Equations with Modeling Applications

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