Generalize the model given in (8) of this section by assuming that the large tank
Chapter 1, Problem 12(choose chapter or problem)
Generalize the model given in (8) of this section by assuming that the large tank initially contains \(N_{0}\) number of gallons of brine, \(r_{\text {in }} \text { and } r_{o u t}\) are the input and output rates of the brine, respectively (measured in gallons per minute), \(\boldsymbol{C}_{\text {in }}\) is the concentration of the salt in the inflow, c(t) is the concentration of the salt in the tank as well as in the outflow at time t (measured in pounds of salt per gallon), and A(t) is the amount of salt in the tank at time t.
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