Screenshоt 2024-11-02 13.57.16.png A 200 liter tаnk initiаlly cоntаins 4 kg оf dye dissolved in 150 liters of water. A dye solution containing 2 2 kg of dye per liter flows into the tank at the rate of 5 liters per minute, while pure water flows in a separate pipe at 3 liters per minute. The well-mixed solution is drawn off at the rate of 6 liters per minute. (a) Set up an initial value problem for V ( t ) V(t) , the volume of dye solution in the tank after t t minutes, and then find V ( t ) V(t) . (b) Set up, but do not solve, an initial value problem for x ( t ) x(t) , the mass of dye in the tank after t t minutes. Classify the resulting differential equation.