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ose that a large mixing tank initially holds 200 gallons of water in which 30 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 2 gal/min, and when the solution is well stirred, it is then pumped out at the same rate. Determine a rential equation for the amount of salt A(t) in the tank at time t > 0. What is A(0)? (Use A for A(t).)

ose that a large mixing tank initially holds 200 gallons of water in which 30 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 2 gal/min, and when the solution is well stirred, it is then pumped out at the same rate. Determine a rential equation for the amount of salt A(t) in the tank at time t > 0. What is A(0)? (Use A for A(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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Suppose that a large mixing tank initially holds 200 gallons of water in which 30 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 2 gal/min, and when the solution is well stirred, it is then pumped out at the same rate. Determine a differential equation for the amount of salt A(t) in the tank at time t > 0. What is A(0)? (Use A for A(t).) dA dt = A(0) =
Transcribed Image Text:Suppose that a large mixing tank initially holds 200 gallons of water in which 30 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 2 gal/min, and when the solution is well stirred, it is then pumped out at the same rate. Determine a differential equation for the amount of salt A(t) in the tank at time t > 0. What is A(0)? (Use A for A(t).) dA dt = A(0) =
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