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 = -y1 + 4y2, y'2 = 3y1 - 2y2, y1(0) = 3, y2(0) = 4

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