A tank contains 460 gallons of water and 45 oz of salt. Water containing a salt concentration of 1/7(1+1/4sint) oz/gal flows into the tank at a rate of 9 gal/min, and the mixture in the tank flows out at the same rate. The long-time behavior of the solution is an oscillation about a certain constant level. What is this level? What is the amplitude of the oscillation? Round the values to two decimal places.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A tank contains 460 gallons of water and 45 oz of salt. Water containing a salt concentration of 1/7(1+1/4sint) oz/gal flows into the tank at a rate of 9 gal/min, and the mixture in the tank flows out at the same rate. The long-time behavior of the solution is an oscillation about a certain constant level. What is this level? What is the amplitude of the oscillation? Round the values to two decimal places. Plz correct solution.
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