A 120-gallon tank initially contains 90 lbs of salt dissolved in 90 gallons of water. Brine containing 2 lb/gal of salt flows into the tank at a rate of 4 gal/min, and the well-stirred mixture flows out of the tank at the rate of 3 gal/min. Set up a differential equation for the amount, A, of salt in the tank after t-mintues. DO NOT SOLVE THE EQUATION, I just want to know that you can set it up.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A 120-gallon tank initially contains 90 lbs of salt dissolved in 90 gallons of water. Brine
containing 2 lb/gal of salt flows into the tank at a rate of 4 gal/min, and the well-stirred
mixture flows out of the tank at the rate of 3 gal/min. Set up a differential equation for the
amount, A, of salt in the tank after t-mintues. DO NOT SOLVE THE EQUATION, I just
want to know that you can set it up.
Transcribed Image Text:A 120-gallon tank initially contains 90 lbs of salt dissolved in 90 gallons of water. Brine containing 2 lb/gal of salt flows into the tank at a rate of 4 gal/min, and the well-stirred mixture flows out of the tank at the rate of 3 gal/min. Set up a differential equation for the amount, A, of salt in the tank after t-mintues. DO NOT SOLVE THE EQUATION, I just want to know that you can set it up.
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