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1 (1 +sint) oz/gal flows into the A tank contains 420 gallons of water and 50 oz of salt. Water containing a salt concentration of tank at a rate of 8 gal/min, and the mixture in the tank flows out at the same rate. The long-time behavior of the solution is an oscillation abouta 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 = i oz.

1 (1 +sint) oz/gal flows into the A tank contains 420 gallons of water and 50 oz of salt. Water containing a salt concentration of tank at a rate of 8 gal/min, and the mixture in the tank flows out at the same rate. The long-time behavior of the solution is an oscillation abouta 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 = i oz.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1 A tank contains 420 gallons of water and 50 oz of salt. Water containing a salt concentration of 10 (1 +sint) oz/gal flows into the tank at a rate of 8 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 = i oz.
Transcribed Image Text:1 A tank contains 420 gallons of water and 50 oz of salt. Water containing a salt concentration of 10 (1 +sint) oz/gal flows into the tank at a rate of 8 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 = i oz.
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