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Find the Laplace transform of the following functions (1) t^2 e^2t (2) e^–3t sin2t (3) e^4t cosh3t

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Find the Laplace transform of the following functions

(1) t2 e2t 

(2) e–3t sin2t 

(3) e4t cosh3t

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(1) We have L(t2) = 2/s3

By using the shifting property, we get

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