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find the inverse Laplace transform of the given function. 1.  F(s) = (8s2 − 4s + 12)/...

find the inverse Laplace transform of the given function.

1.  F(s) = (8s2 − 4s + 12)/ s(s2 + 4)

use the Laplace transform to solve the given initial value problem.

2. y'' − 2y' + 2y = 0; y(0) = 0, y' (0) = 1

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