Suppose that both tanks A and Binitially contain 100 gallons of brine. Liquid is pumped in...

 

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Suppose that both tanks A and Binitially contain 100 gallons of brine. Liquid is pumped in and out of the tanks as indicated in the diagram below. The mixture pumped between and out of the tanks is assumed to be well-stirred. Construct a mathematical model in the form of a linear system of first-order differential equations for the number of pounds x(t) and y(t) of salt in tanks A and B, respectively, at time t. Solve the linear system subject to the initial conditions x(0) = 60 and y(0) = 10. %3D What are lim-00 x(t) and lim,o y(t). Plot the graphs of x(t) and y(t) on the same coordinate plane. ½ Ib/gal 2 gal/min pure water mixture 2 gal/min 1 gal/min mixture mixture mixture I gal/min 2 gal/min 3 gal/min Suppose that both tanks A and Binitially contain 100 gallons of brine. Liquid is pumped in and out of the tanks as indicated in the diagram below. The mixture pumped between and out of the tanks is assumed to be well-stirred. Construct a mathematical model in the form of a linear system of first-order differential equations for the number of pounds x(t) and y(t) of salt in tanks A and B, respectively, at time t. Solve the linear system subject to the initial conditions x(0) = 60 and y(0) = 10. %3D What are lim-00 x(t) and lim,o y(t). Plot the graphs of x(t) and y(t) on the same coordinate plane. ½ Ib/gal 2 gal/min pure water mixture 2 gal/min 1 gal/min mixture mixture mixture I gal/min 2 gal/min 3 gal/min