Two tanks are interconnected. Tank A contains 50 grams of salt in 20 liters of water, and Tank B contains 60 grams of salt in 50 liters of water. A solution of 1 gram/L flows into Tank A at a rate of 7 L/min, while a solution of 3 grams/L flows into Tank B at a rate of 6 L/min. The tanks are well mixed. The tanks are connected, so 8 L/min flows from Tank A to Tank B, while 1 L/min flows from Tank B to Tank A. An additional 13 L/min drains from Tank B. Letting x x represent the grams of salt in Tank A, and y y represent the grams of salt in Tank B, set up the system of differential equations for these two tanks. Required:
a. dx/dy=
b. dy/dt=
c. x(0)=
d. y(0)=