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A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine containing 2lb/gal of salt runs into the tank at the rate of 4 gal/min. The mixture is kept uniform by stirring and flows out of the tank at the rate of 3 gal/min. Find the solution to the differential equation that models the mixing process.

A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine containing 2lb/gal of salt runs into the tank at the rate of 4 gal/min. The mixture is kept uniform by stirring and flows out of the tank at the rate of 3 gal/min. Find the solution to the differential equation that models the mixing process.

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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A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine containing 2lb/gal of salt runs into the tank at the rate of 4 gal/min. The mixture is kept uniform by stirring and flows out of the tank at the rate of 3 gal/min. Find the solution to the differential equation that models the mixing process. y = 4(50+t) - (B) There is no correct answer from the given options. Ⓒy=4(50+t)- y = 2(100 +t) - (100+t) 3 y = 2(100+t) - 108 (100+t) 3 108 (100+t) ³ (100+ t3
Transcribed Image Text:A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine containing 2lb/gal of salt runs into the tank at the rate of 4 gal/min. The mixture is kept uniform by stirring and flows out of the tank at the rate of 3 gal/min. Find the solution to the differential equation that models the mixing process. y = 4(50+t) - (B) There is no correct answer from the given options. Ⓒy=4(50+t)- y = 2(100 +t) - (100+t) 3 y = 2(100+t) - 108 (100+t) 3 108 (100+t) ³ (100+ t3
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