Mathematics, 28.01.2021 20:20, AdhoraM11571
Tank A contains 80 gallons of water in which 20 pounds of salt has been dissolved. Tank B contains 30 gallons of water in which 5 pounds of salt has been dissolved. A brine mixture with a concentration of 0.5 pounds of salt per gallon of water is pumped into tank A at the rate of 4 gallons per minute. The well-mixed solution is then pumped from tank A to tank B at the rate of 6 gallons per minute. The solution from tank B is also pumped through another pipe into tank A at the rate of 2 gallons per minute, and the solution from tank B is also pumped out of the system at the rate of 4 gallons per minute. Find the differential equations with initial conditions for the amounts, x(t) and y(t), of salt in tanks A and B, respectively, at time t.
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Tank A contains 80 gallons of water in which 20 pounds of salt has been dissolved. Tank B contains 3...
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