7. A large basin contains 200 gallons of a syrup mixture. At a rate of 3 gallons a minute, a syrup mixture containing 2 pounds of sugar per gallon is pumped into the basin. The well-mixed solution is then pumped out at the same rate. a. Setup and solve the differential equation, letting x,represent the pounds of concentrate (sugar) at time t. (10) b. solve for the constant given that there is a 11b/gaMon concentration at time O. (6) c. What is the steady-state solution for X if the process continues indefinitely? (4)
