find the Laplace of the following functions and simplify the result. answer 1-5.thanks.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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find the Laplace of the following functions and simplify the result. answer 1-5.thanks.

1. f (t)
= 2 (sinh t) (sint)
2. f (t) = 7e – 2t sin(3t)
3. f (t) = -6te-3t + 9t
4. f (t) — 3 (t + 1) Н (t — 1)
for 0<t<3
5. f (t) = {sint for t23
Ísint for t23
Transcribed Image Text:1. f (t) = 2 (sinh t) (sint) 2. f (t) = 7e – 2t sin(3t) 3. f (t) = -6te-3t + 9t 4. f (t) — 3 (t + 1) Н (t — 1) for 0<t<3 5. f (t) = {sint for t23 Ísint for t23
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