Use the Laplace transform to solve the initial value problem. 1. x' – 2y' = 1; x' +y – x = 0; x(0) = y(0) = 0 2. 2x' – 3y + y' = 0; x' + y' = t;x(0) = y(0) = 0 3. x' + 2y' - y = 1; 2x' + y = 0; x(0) = y(0) = 0 4. x' + y' – x = cos(t);x' + 2y' = 0; x(0) = y(0) = 0 5. 3x' – y = 2t;x' + y' – y = 0; x(0) = y(0) = 0 %3D %3D

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