Here is the question:
I have posted a link there to this topic so the OP can see my work.Mathematical Model Question?
A simple model for the absorption of a herbicide placed on the surface of a leaf is that it will be absorbed at a rate proportional to the difference in concentration between that on the surface and that on the interior. Assume the rate constant is α.
(a) If a layer with constant concentration Ca is placed on the leaf, write an equation for the concentration of herbicide in the leaf, C(t) as time progresses.
(b) Solve the equation for concentration C(t) if there is no herbicide in the leaf to begin.
(c) Now suppose the plant circulatory system (xylem and phloem) disperses the herbicide throughout the plant with rate proportional to concentration in the leaf and rate constant β. Modify your equation accordingly and hence your solution.
(d) What is the difference in outcome between cases in (b) and (c)?