In each of Problems 12 through 15, use integration by parts to find the Laplace transform of the given function; n is a positive integer and a is a real constant. 12. f(t) = teat 13.ft) = t sin(at) 14. ft) = teat 15. ft) i sin(at) 2

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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In each of Problems 12 through 15, use integration by parts to find the Laplace transform of the given function; n is a positive integer and a is a real
constant.
12. f(t)
13. f(t) = t sin(at)
14. f(t) = teat
15. ft) = ² sin(at)
= teat
Transcribed Image Text:In each of Problems 12 through 15, use integration by parts to find the Laplace transform of the given function; n is a positive integer and a is a real constant. 12. f(t) 13. f(t) = t sin(at) 14. f(t) = teat 15. ft) = ² sin(at) = teat
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