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pure water 3 gal/min mixture 1 gal/min mixture 4 gal/min mixture 3 gal/min Assume that tank A contains 150 gallons of water in which 30 pounds of salt is dissolved. Suppose tank B contains 75 gallons of pure water. Liquid is pumped into and out of the tanks as indicated in the figure; the mixture exchanged between the two tanks and the liquid pumped out of tank B are assumed to be well stirred. Write an IVP for A(t) and B(t), the amount of salt in pounds in each tank at time t.

pure water 3 gal/min mixture 1 gal/min mixture 4 gal/min mixture 3 gal/min Assume that tank A contains 150 gallons of water in which 30 pounds of salt is dissolved. Suppose tank B contains 75 gallons of pure water. Liquid is pumped into and out of the tanks as indicated in the figure; the mixture exchanged between the two tanks and the liquid pumped out of tank B are assumed to be well stirred. Write an IVP for A(t) and B(t), the amount of salt in pounds in each tank at time t.

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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mixture 1 gal/min 10 mixture 4 gal/min pure water 3 gal/min mixture 3 gal/min Assume that tank A contains 150 gallons of water in which 30 pounds of salt is dissolved. Suppose tank B contains 75 gallons of pure water. Liquid is pumped into and out of the tanks as indicated in the figure; the mixture exchanged between the two tanks and the liquid pumped out of tank B are assumed to be well stirred. Write an IVP for A(t) and B(t), the amount of salt in pounds in each tank at time t.
Transcribed Image Text:mixture 1 gal/min 10 mixture 4 gal/min pure water 3 gal/min mixture 3 gal/min Assume that tank A contains 150 gallons of water in which 30 pounds of salt is dissolved. Suppose tank B contains 75 gallons of pure water. Liquid is pumped into and out of the tanks as indicated in the figure; the mixture exchanged between the two tanks and the liquid pumped out of tank B are assumed to be well stirred. Write an IVP for A(t) and B(t), the amount of salt in pounds in each tank at time t.
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