Initially a tank contains 10 lb of salt dissolved in 100 gal of water. Assume that brine containing 1 lb/gal of salt is entering the tank at a rate of 3 gal/min and that the solution is leaving the tank at the rate of 1 gal/min. Find the amount of salt x(t) in the tank after t minutes.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5. Initially a tank contains 10 lb of salt dissolved in 100 gal of water. Assume that brine
1
containing
lb/gal of salt is entering the tank at a rate of 3 gal/min and that the
4
solution is leaving the tank at the rate of 1 gal/min. Find the amount of salt x(t) in
the tank after t minutes.
Transcribed Image Text:5. Initially a tank contains 10 lb of salt dissolved in 100 gal of water. Assume that brine 1 containing lb/gal of salt is entering the tank at a rate of 3 gal/min and that the 4 solution is leaving the tank at the rate of 1 gal/min. Find the amount of salt x(t) in the tank after t minutes.
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