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23 8. A tank initially contains 100 gallons of pure water. A mixture which contains a concentration of 1 gram per gallon of salt flows into the tank at the rate of 2 gallons per minute, and the well-stirred mixture leaves the tank at the same rate. (a) Find the amount Q(t) of salt in the tank at any time t. (b) Find the limiting amount of salt in the tank after a very long time. 1

23 8. A tank initially contains 100 gallons of pure water. A mixture which contains a concentration of 1 gram per gallon of salt flows into the tank at the rate of 2 gallons per minute, and the well-stirred mixture leaves the tank at the same rate. (a) Find the amount Q(t) of salt in the tank at any time t. (b) Find the limiting amount of salt in the tank after a very long time. 1

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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23 8. A tank initially contains 100 gallons of pure water. A mixture which contains a concentration of 1 gram per gallon of salt flows into the tank at the rate of 2 gallons per minute, and the well-stirred mixture leaves the tank at the same rate. (a) Find the amount Q(t) of salt in the tank at any time t. (b) Find the limiting amount of salt in the tank after a very long time. 1
Transcribed Image Text:23 8. A tank initially contains 100 gallons of pure water. A mixture which contains a concentration of 1 gram per gallon of salt flows into the tank at the rate of 2 gallons per minute, and the well-stirred mixture leaves the tank at the same rate. (a) Find the amount Q(t) of salt in the tank at any time t. (b) Find the limiting amount of salt in the tank after a very long time. 1
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