5. A patient initially has a concentration of 50mg/L of morphine in her blood and 70mg/L in her cerebrospinal fluid. Suppose that the drug moves into the cerebrospinal fluid at a per-capita rate of .4 and that the amount that is moved back from the cerebrospinal fluid to the bloodstream is .2 . Suppose further that the metabolism of medicine in the bloodstream is .1 and the metabolism of the drug in the cerebrospinal fluid is .2 Blood cerebrospinal fluid ( brain ) Let x(t) represent the concentration in the blood and y(t) represent the concentration in the

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.