Proble: 2. A tank initially contains 300 liters of brine with 80 kg of dissolved salt. Brine containing 0.4 kg of salt per liter enters the tank at a rate of 6 liters/min, and the well-stirred mixture leaves the tank at the same rate. If the concentration of salt in the tank at time t is y(t) kg/liter, then the equation governing this process is: Now dy dt 6 300 (t) +0.4 (a) Solve the given differential equation for y(t). (b) Find the time at which the concentration of salt in the tank will be 40 kg/liter. (c) After how long will the concentration of salt in the tank be less than 10 kg/liter?

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