2. Find the Laplace transform of the following functions. (Use the table.) (a) g(t) = 2e“ + 21²e“

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Find the Laplace transform of the following functions. (Use the table.)
(a) g(t) = 2e" + 2t²e"
(b) h(t) = 4 sin(6t) – 4t sin(6t) + 4e 4 sin(6t)
-21
(c) g(t) = 2 sinh(3t) + e-2" sinh(3t)
(d) f(t) = 3 sin(2t) – 6t cos(2t)
Transcribed Image Text:2. Find the Laplace transform of the following functions. (Use the table.) (a) g(t) = 2e" + 2t²e" (b) h(t) = 4 sin(6t) – 4t sin(6t) + 4e 4 sin(6t) -21 (c) g(t) = 2 sinh(3t) + e-2" sinh(3t) (d) f(t) = 3 sin(2t) – 6t cos(2t)
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