6. A tank initially contains 5 gallons of brine in which is dissolved 2.5 pounds of salt. At t=0 a salt solution contain

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6 A Tank Initially Contains 5 Gallons Of Brine In Which Is Dissolved 2 5 Pounds Of Salt At T 0 A Salt Solution Contain 1 (18.11 KiB) Viewed 12 times

6. A tank initially contains 5 gallons of brine in which is dissolved 2.5 pounds of salt. At t=0 a salt solution containing a concentration of 1 lb/gal is poured into the tank at a rate of 4 gal/min, while the well-stirred mixture leaves the tank at the same rate. Construct the initial value problem (differential equation and initial condition) that will yield the amount of salt in the tank at any time t. You do not need to solve the resulting initial value problem. (15 points)