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Use the Laplace transform to solve the given system of differential equations. d2x dt2 + d2y...

Use the Laplace transform to solve the given system of differential equations. d2x dt2 + d2y dt2 = t2 d2x dt2 − d2y dt2 = 3t x(0) = 8, x'(0) = 0, y(0) = 0, y'(0) = 0

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