A tank contains grams of dye dissolved in water at time minutes
MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations
Problem
A tank contains y(t) grams of dye dissolved in water at time t minutes. Dyed water enters the tank at a concentration of 2 g/L at a constant rate of 3 L/min, and well-mixed solution leaves at the same volumetric rate. Explain in one or two sentences why the instantaneous rate of change of dye mass can be written as dtdy=6−V3y(t), where V is the constant volume of the tank (in liters).