Fresh water is poured at a rate of 2 gal / min into a tank A, which initially contains 100 gal of a salt solution with concentration 0.5 lb / gal. The stirred mixture flows out of tank A at the same rate and into a second tank B that initially contained 100 gal of fresh water. The mixture in

Fresh water is poured at a rate of 2 gal / min into a tank A, which initially contains 100 gal of a salt solution with concentration 0.5 lb / gal. The stirred mixture flows out of tank A at the same rate and into a second tank B that initially contained 100 gal of fresh water. The mixture in tank B is also stirred and flows out at the same rate

(a) Determine an IVP satisfied by the amount of salt in tank A.
(b) Find the amount of salt in tank A at any time.
(c) Find the IVP satisfied by the amount of salt in tank B.
(d) Determine the amount o f salt i n tan k B as a function of time.