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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c8dd15f-96ba-44af-aa4c-d277abfb20d2%2Ff037d2de-f0b3-4166-a49e-8060f9e6e25c%2Fpb6a2te_processed.jpeg&w=3840&q=75)
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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