Use the Laplace transform to solve the given initial value problem. y - 2y' + 2y...

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Use the Laplace transform to solve the given initial value problem. y" - 2y' + 2y = 0; y(0) = 0, y'(0) = 8 y(t) = e'sin(t) X Find the inverse Laplace transform of the given function. (Express your answer in terms of t.) 45 + 4 s² + 25 + 5 F(s): = £¹{F(s)} = Use the Laplace transform to solve the given initial value problem. y" - 2y' + 2y = 0; y(0) = 0, y'(0) = 8 y(t) = e'sin(t) X Find the inverse Laplace transform of the given function. (Express your answer in terms of t.) 45 + 4 s² + 25 + 5 F(s): = £¹{F(s)} =