4.2 Initially, two large tanks A and B each hold 100 gallons of brine. The wellstirred liquid is pumped between the tanks as shown in figure below. Use the information given in the figure to construct a mathematical model for the number of pounds of salt x_(1)(t) and x_(2)(t) at time t in tanks A and B, respectively. Suppose we are given that initially, tank A contains 50lb of salt and tank B is only filled with brine. Find the explicit solution of the model you have just constructed.
(15)
4.2 Initially, two large tanks A and B each hold 100 gallons of brine. The well- stirred liquid is pumped hetween the tanks as shown in figure below. Use the information given in the figure to construct a mathematical model for the number of pounds of salt xt and xzt at time t in tanks A and Brespectively Suppose we are given that initially, tank A contains 50 lb of salt and tank B is only filled with brine. Find the explicit solution of the model you have just constructed.
(15)
2 lb/gal 7 gal/min
mixture 5 gal/min
100 gal
100 gal
mixture 3 gal/min
mixture 1 gal/min
mixture 4 gal/min