Question 9 A tank contains 100 gallons of a brine solution i…

Question 9 A tank contains 100 gallons of a brine solution in which 5 pounds of salt are initially dissolved. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 2 gal/min. The well-mixed solution is pumped out at the same rate of 2 gal/min. a) Find a differential equation that models the problem. b) Use what you have learned in chapter 4, such as an auxiliary equation and the method of undetermined coefficients or variation of parameters, to solve the differential equation you found in part a). Do not forget to use the initial condition.