- Consider The Following System Of Tanks Each Tank Initially Contains V1 100 Gallons And V2 200 Gallons Of Fresh Wate 1 (19.63 KiB) Viewed 25 times
contains V1 = 100 gallons and V2 = 200 gallons of fresh water. At
time t = 0 minutes, all three valves open up, allowing for a salt
brine solution (at a concentration of 2 lbs/gal) to enter the first
tank through the first valve. At the same time, the solution is
allowed to pass from the first tank into the second tank, and
finally, the solution is allowed to exit the second tank, all at
the same rate of r = 10 gal/min.
(a) Set up a system of differential equations that will allow
you to solve for q1(t) and q2(t), which represent the amount of
salt (in pounds) in tank 1 and tank 2, respectively, at time t.
(b) Solve your system to find q1(t) and q2(t), and then graph
them.