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
Posted: Wed Jul 06, 2022 11:50 am
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)