9. Three tanks each hold 1 gal of salt water and are connected by four pipes. Salt-water solution containing 1 1b of salt for every gallon of solution flows into the left tank at a rate of 2 gal per minute and salt-water solution exits the right tank at the same rate. Salt water flows from the left to the center tank and from the center to the right tank at a rate of 3 gal per minute. Salt-water solution also flows from the right to the center tank and from the center to the left tank at a rate of 1 gal per minute. 2 gal/min salt-water I gal/min I gal/min 2 gal/min 3 gal/min 3 gal/min (a) (10 points) If the left, center, and right tanks initially contain 5, 2, and 7 lb of salt, respectively, set up the system of differential equations that describes the rate of change of salt in each tank and specify the initial conditions. (b) (15 points) Find the particular solution to your initial value problem and use it to determine the salt content in each tank after 1 minute