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

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

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

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