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 + y'2 = 2 sinh t, y'2 + y'3 = et, y'3 + y'1 = 2et + e-t, y1(0) = 1, y2(0) = 1, y3(0) = 0

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