Consider two interconnected tanks, labeled A and B. Salt water with a concentration of 1 lb/gal is pumped into Tank A at a rate of 3 gal/min while Tank B is drained at the same rate. The contents of Tank A flow into Tank B at a rate of 4 gal/min and the contents of Tank B flow into Tank A at a rate of 1 gal/min. Initially, Tank A contains 2 lbs of salt dissolved into 10 gallons of water. Tank B initially contains 10 gallons of fresh water. Draw and label a diagram that represents the elements in this problem. Then set up differential equations that describe the amount of salt (in lbs) in each of the two tanks.
Consider two interconnected tanks, labeled A and B. Salt water with a concentration of 1 lb/gal is pumped into Tank A at a rate of 3 gal/min while Tank B is drained at the same rate. The contents of Tank A flow into Tank B at a rate of 4 gal/min and the contents of Tank B flow into Tank A at a rate of 1 gal/min. Initially, Tank A contains 2 lbs of salt dissolved into 10 gallons of water. Tank B initially contains 10 gallons of fresh water. Draw and label a diagram that represents the elements in this problem. Then set up differential equations that describe the amount of salt (in lbs) in each of the two tanks.
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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Transcribed Image Text:10. Consider two interconnected tanks, labeled A and B. Salt water with a concentration of 1 lb/gal is pumped
into Tank A at a rate of 3 gal/min while Tank B is drained at the same rate. The contents of Tank A flow into
Tank B at a rate of 4 gal/min and the contents of Tank B flow into Tank A at a rate of 1 gal/min. Initially,
Tank A contains 2 lbs of salt dissolved into 10 gallons of water. Tank B initially contains 10 gallons of fresh
water.
Draw and label a diagram that represents the elements in this problem. Then set up differential equations
that describe the amount of salt (in lbs) in each of the two tanks.
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