A tank initially contains 100 gal of water in which is dissolved 2 lb of salt. The salt-water solution containing 1 lb of salt for every 4 gal of solution enters the tank at a rate of 5 gal per minute. The solution leaves the tank at the same rate, allowing for a constant solution volume in the tank.
(a) Use an analytic method to determine the eventual salt content in the tank.
(b) Use a numerical solver to determine the eventual salt content in the tank and compare your approximation with the analytical solution found in part (a).
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