# 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.

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## Differential Equations and Linear Algebra

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

ISBN: 978-0131860612