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 + y2 = -101 sin 10t, y2" + y1 = 101 sin 10t, y1(0) = 0, y'1 (0) = 6, y2(0) = 8, y'2 (0) = -6

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