A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 3 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.
Added by William B.
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Step 1:** The rate of change of the amount of salt in the tank is given by the differential equation: \[\frac{dA}{dt} = 3 - \frac{A}{50}\] ** Show more…
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