1 A tank contains 280 gallons of water and 10 oz of salt. Water containing a salt concentration of (1 +sint) oz/gal flows into the tank at a rate of 10 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 ocillation? Round the values to two decimal places. Oscillation about a level = i oz. Amplitude of the oscillation i oz.

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 280 gallons of water and 10 oz of salt. Water containing a salt concentration of -(1 +sint) oz/gal flows into the tank
at a rate of 10 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
oz.
Amplitude of the oscillation
oz.
Transcribed Image Text:1 A tank contains 280 gallons of water and 10 oz of salt. Water containing a salt concentration of -(1 +sint) oz/gal flows into the tank at a rate of 10 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 oz. Amplitude of the oscillation oz.
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