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 = 4y2 - 8 cos 4t, y'2 = -3y1 - 9 sin 4t, y1(0) = 0, y2(0) = 3

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