A tank contains 14,000 L of brine with 21 kg of dissolved salt. Pure water enters the tank at a rate of 140 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. (a) How much salt is in the tank after t minutes? Step 1 Let y(t) be the amount of salt in the tank after t minutes. Then y(0) = . (b) How much salt is in the tank after 30 minutes?
A tank contains 14,000 L of brine with 21 kg of dissolved salt. Pure water enters the tank at a rate of 140 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. (a) How much salt is in the tank after t minutes? Step 1 Let y(t) be the amount of salt in the tank after t minutes. Then y(0) = . (b) How much salt is in the tank after 30 minutes?
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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Question
A tank contains 14,000 L of brine with 21 kg of dissolved salt. Pure water enters the tank at a rate of 140 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate.
(a)
How much salt is in the tank after t minutes?
Step 1
Let y(t) be the amount of salt in the tank after t minutes.
Then y(0) = .
Then y(0) = .
(b)
How much salt is in the tank after 30 minutes?
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