Use the transforms in Fig. 10.1.2 to find the Laplace transforms of the functions in Problems 11

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Use the transforms in Fig. 10.1.2 to find the Laplace transforms of the functions in Problems 11 through 22. A preliminary integration by parts may be necessary.

f (t) = t - 2e^3t

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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Question Posted: Aug 11, 2023 02:25 PM

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Use the transforms in Fig. 10.1.2 to find the Laplace transforms of the functions in Problems 11

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t f(t) t" (n ≥0) g@ (a>−1) eat cos kt sin kt cosh kt sinhkt u(t - a) 13 S n! gn+T F(s) Γ(α + 1) sa+1 s-a S s²+k² s²+k² S s²-k² s2k² -as S (s > 0) (s > 0) (s > 0) (s > 0) (s> a) (s > 0) (s > 0) (s> |k|) (s> |k|) (s > 0) FIGURE 10.1.2. A short table of Laplace transforms.

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Differential Equations And Linear Algebra

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