Use Definition 7.1.1.
DEFINITION 7.1.1 LaplaceTransformLet f be a function defined for
t ≥ 0.
Then the integralℒ{f(t)} =
is said to be the Laplacetransform of f, provided that theintegral converges.
Find
ℒ{f(t)}.
(Write your answer as a function of s.)
f(t) = t cos t
ℒ{f(t)} =
(s > 0)
Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t ≥ 0. Then the integralℒ{f(
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