i) A tank initially contains 40 pounds of salt dissolved in 600 gallons of water. Starting at t = 0, water that contains 1 pound of salt per gallon is poured into the tank at the rate of 4 gallons per minute and the mixture is drained from the tank at the same rate. Find a differential equation for the quantity of salt y(t) in the tank at time t > 0, and solve the equation to determine y(t). Find limt y(t).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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i) A tank initially contains 40 pounds of salt dissolved in 600 gallons of
water. Starting at t = 0, water that contains 1 pound of salt per gallon
is poured into the tank at the rate of 4 gallons per minute and the
mixture is drained from the tank at the same rate. Find a differential
equation for the quantity of salt y(t) in the tank at time t > 0, and
solve the equation to determine y(t). Find limt-y(t).
Transcribed Image Text:i) A tank initially contains 40 pounds of salt dissolved in 600 gallons of water. Starting at t = 0, water that contains 1 pound of salt per gallon is poured into the tank at the rate of 4 gallons per minute and the mixture is drained from the tank at the same rate. Find a differential equation for the quantity of salt y(t) in the tank at time t > 0, and solve the equation to determine y(t). Find limt-y(t).
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