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transform the given initial value problem into an algebraic equation for Y = L{y} in the...

transform the given initial value problem into an algebraic equation for Y = L{y} in the s-domain. Then find the Laplace transform of the solution of the initial value problem.

y'' + 4y = 3e^(−2t) * sin 2t,
y(0) = 2, y′(0) = −1

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