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Solve differential equation with the given initial condition

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Reference no: EM131613284

Question: 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 Fick's 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.

Reference no: EM131613284

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