A tank initially contains 980 gal of pure water.
A tank initially contains 980 gal of pure water. Brine containing 3.3 lb/gal of salt is poured into the tank at a rate of 7 gal/min. Suppose the solution in the tank is instantly well mixed and drained out at a rate of 9 gal/min.
Let Q = Q(t) be the quantity of salt in the tank at time t minutes.
What is the initial condition?
Set up the differential equation for the quantity of salt in the tank:
Find the particular solution:
When does this differential equation become invalid? t= min.
Homework Answers
the differential equation is
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