In Exercises consider a tank that at time t = 0 contains v₀ gallons of a solution of which, by weight, q₀ pounds is soluble concentrate. Another solution containing q₁ pounds of the concentrate per gallon is running into the tank at the rate of r₁, gallons per minute. The solution in the tank is
kept well stirred and is withdrawn at the rate of r₂ gallons per minute.

Let Q be the amount of concentrate in the solution at any time t. Show that

Transcribed Image Text:

dQ dt r2Q % + (r₁ r₂)t - = 9₁/1.