Query 30 Differential Equations

Question:  Using the definition of the Laplace transform, find the Laplace transform of f(t) = t e^(t sqrt(t)).

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Question:  Using the definition of the Laplace transform, find the Laplace transform of the function f(t) defined by f(t) = 0, 0 <= t < 1; f(t) = t - 1, 1 <= t.

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Question:  Using the definition of the Laplace transform, find the Laplace transform of f(t) = cos(omega t).

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Question:  Using the definition of the Laplace transform, find the Laplace transform of f(t) = e^(3 t) sin(t).

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