Using the Laplace transform and showing the details of your work, solve the IVP: y 1 =

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Using the Laplace transform and showing the details of your work, solve the IVP:

y"1 = -2y1 + 2y2, y2" = 2y1 - 5y2, y1(0) = 1, y'1 (0) = 0, y2(0) = 3, y'2 (0) = 0

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