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A 50 gallons tank initially contains 10 gal of fresh water. At t = 0, a brine solution  containing 1 lb of salt per gallon is poured into the tank at the rate of 4 gal/min, while the  well-stirred mixture leaves the tank at the rate of 2 gal/min. Find  a. the amount of time required for overflow to occur  b. the amount of salt in the tank at the moment of overflow

A 50 gallons tank initially contains 10 gal of fresh water. At t = 0, a brine solution  containing 1 lb of salt per gallon is poured into the tank at the rate of 4 gal/min, while the  well-stirred mixture leaves the tank at the rate of 2 gal/min. Find  a. the amount of time required for overflow to occur  b. the amount of salt in the tank at the moment of overflow

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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6. A 50 gallons tank initially contains 10 gal of fresh water. At t = 0, a brine solution 
containing 1 lb of salt per gallon is poured into the tank at the rate of 4 gal/min, while the 
well-stirred mixture leaves the tank at the rate of 2 gal/min. Find 
a. the amount of time required for overflow to occur 
b. the amount of salt in the tank at the moment of overflow

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