A tank contains 180 gallons of water and 50 oz of salt. Water containing a salt concentration of (1+sin) oz/gal flows into the tank at a rate of 5 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. Oscillation about a level Amplitude of the oscillation oz. oz.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A tank contains 180 gallons of water and 50 oz of salt. Water containing a salt concentration of (1+sin 1) oz/gal flows into the
tank at a rate of 5 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.
Oscillation about a level = i
Amplitude of the oscillation
oz.
oz.
Transcribed Image Text:A tank contains 180 gallons of water and 50 oz of salt. Water containing a salt concentration of (1+sin 1) oz/gal flows into the tank at a rate of 5 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. Oscillation about a level = i Amplitude of the oscillation oz. oz.
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