Let x(t) be the amount of morphine in the blood t hours after the injection and y(t) be the amountof morphine in the CNS t hours after the injection. Assume the rate of change of morphine in theCNS increases by one-half of the amount in the blood and decreases by one-tenth of the amount inthe CNS. The decreasing amount does not re-enter the blood stream.Assuming that no morphine is in the CNS when the initial injection of 6 mg takes place,(i) Set up the system of coupled ODEs for this scenario.(ii) Use the eigenvalue/eigenvector approach to solve for x(t) and y(t).(iii) At what time do you expect the amount of morphine in the CNS to be at its greatest?