is poured into the tank a te of 2 liters/min. Let y(t ial model for (t) and gol
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2. A 500-liter tank initially contains 10 grams of salt dissolved in 200 liters of water. Starting at t=0,
water that contains 1/4 grams of salt per liter is poured into the tank at the rate of 4 liters/min, and
the mixture is drained from the tank at the rate of 2 liters/min. Let y(t) represent the amount of
salt inside the tank at time t. Find a differential model for y(t) and solve it to find y(t). Graph y(t).
What is the amount of salt after 10 minutes? What is the concentration of salt inside the tank after
10 minutes?
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