A cell contains a chemical (the solute) dissolved in it at a concentration c(t), and the
Chapter 0, Problem 38(choose chapter or problem)
A cell contains a chemical (the solute) dissolved in it at a concentration c(t), and the concentration of the same substance outside the cell is a constant k. By Ficks law, if c(t) and k are unequal, solute moves across the cell wall at a rate proportional to the difference between c(t) and k, toward the region of lower concentration. (a) Write a differential equation satisfied by c(t). (b) Solve the differential equation with the initial condition c(0) = c0. (c) Sketch the solution for c0 = 0
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