Consider a two compartment drug model with the first compartment the GI tract and the second the plasma in the circulatory system. The drug input into the GI tract is I(t) = De^(t) and the removal rate from the GI tract to the plasma is k1 and the removal rate from the blood is k2. Assume that initially there is no drug in either compartment. (a) Make a diagram of the two compartment model. (b) Suppose x(t) is the amount of the drug in the GI tract and y(t) is the amount in the plasma. Derive a system of differential equations with initial conditions for the model. (c) Solve the system of equations if k1 = 1 and k2 = 2.