Differential Equations course. Hint: y' = int - out

3. Solve the following problem. (20 points) As shown in Figure 1, the tank contains 1000 gal of water in which 200lb of salt are dissolved. Fifty gallons of brine, each containing (1+cost)lb of dissolved salt, run into the tank per minute. The mixture, kept uniform by stirring, runs out at the same rate. Find the amount of salt y(t) in the tank at any time t. Figure 1. 3. Solve the following problem. (20 points) As shown in Figure 1, the tank contains 1000 gal of water in which 200lb of salt are dissolved. Fifty gallons of brine, each containing (1+cost)lb of dissolved salt, run into the tank per minute. The mixture, kept uniform by stirring, runs out at the same rate. Find the amount of salt y(t) in the tank at any time t. Figure 1