A cell contains a chemical (the solute) dissolved in it ata concentration c(t), and the
Chapter 11, Problem 38(choose chapter or problem)
A cell contains a chemical (the solute) dissolved in it ata concentration c(t), and the concentration of the samesubstance outside the cell is a constant k. By Ficks law,if c(t) and k are unequal, solute moves across the cellwall 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 conditionc(0) = c0.(c) Sketch the solution for c0 = 0.
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