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dx/dt = 3y + e^t dy/dt = 12x - t x(0) = 1, y(0) = 1 Use the Laplace transform to solve the given system of differential equations.

dx/dt = 3y + e^t dy/dt = 12x - t x(0) = 1, y(0) = 1 Use the Laplace transform to solve the given system of differential equations.

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dx/dt = 3y + e^t dy/dt = 12x - t x(0) = 1, y(0) = 1 Use the Laplace transform to solve the given system of differential equations.

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