Question: In Exercises consider a tank that at time t = 0 contains v 0 gallons of a solution of which, by weight, q 0 pounds

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 The solution in the tank is kept well stirred and is withdrawn at the rate of r2 gallons per minute.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. Write the differential equation for the rate of change of Q with respect to t when r₁ = r₂ = r. 

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