Initially, two large tanks A and B each hold 100 gallons of brine. The well-stirred

Chapter 3, Problem 12

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Initially, two large tanks A and B each hold 100 gallons of brine. The well-stirred liquid is pumped between the tanks as shown in Figure 3.R.3. Use the information given in the figure to construct a mathematical model for the number of pounds of salt x1(t) and x2(t) at time t in tanks A and B, respectively. dy dt k2xy. dx dt k1x( x) FIGURE 3.R.3 Mixing tanks in 2 lb/gal 7 gal/min mixture 5

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