A tank contains 100 gal of water in which 50 oz of salt is dissolved. Water cont

Question

A tank contains 100 gal of water in which 50 oz of salt is dissolved. Water containing a salt concentration if 1 4 (1 + 1 2 sin t) oz/gal flows into the tank at a rate of 2 gal/min, and the mixture in the tank flows out at the same rate

(a) Find the amount of salt in the tank at any time.
(b) Sketch a graph of the solution for a time period long enough so that you see the ultimate behaviour
of the graph.
(c) The long-time behaviour of the graph should look like an oscillation about a certain constant
level. What is this level, and what is the amplitude of oscillation?

Explanation / Answer

plz check this link

http://www.fen.bilkent.edu.tr/~mugan/courses/math240/homework_set_3_Solutions_SEC_2_3.pdf

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