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A tank is filled with 1000 liters of pure water. Brine containing 0.03 kg of salt per liter enters the tank at 9 liters per minute. Another brine solution containing 0.08 kg of salt per liter enters the tank at 6 liters per minute. The contents of the tank are kept thoroughly mixed and the drains from the tank at 15 liters per minute. A. Determine the differential equation which describes this system. Let S(t) denote the number of kg of salt in the tank after t minutes. Then B. Solve the differential equation for S(t). S(t) =

A tank is filled with 1000 liters of pure water. Brine containing 0.03 kg of salt per liter enters the tank at 9 liters per minute. Another brine solution containing 0.08 kg of salt per liter enters the tank at 6 liters per minute. The contents of the tank are kept thoroughly mixed and the drains from the tank at 15 liters per minute. A. Determine the differential equation which describes this system. Let S(t) denote the number of kg of salt in the tank after t minutes. Then B. Solve the differential equation for S(t). S(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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A tank is filled with 1000 liters of pure water. Brine containing 0.03 kg of salt per liter enters the tank at 9 liters per minute. Another brine solution containing 0.08 kg of salt per liter enters the tank at 6 liters per minute. The contents of the tank are kept thoroughly mixed and the drains from the tank at 15 liters per minute. A. Determine the differential equation which describes this system. Let S(t) denote the number of kg of salt in the tank after t minutes. Then d = B. Solve the differential equation for S(t). S(t) =
Transcribed Image Text:A tank is filled with 1000 liters of pure water. Brine containing 0.03 kg of salt per liter enters the tank at 9 liters per minute. Another brine solution containing 0.08 kg of salt per liter enters the tank at 6 liters per minute. The contents of the tank are kept thoroughly mixed and the drains from the tank at 15 liters per minute. A. Determine the differential equation which describes this system. Let S(t) denote the number of kg of salt in the tank after t minutes. Then d = B. Solve the differential equation for S(t). S(t) =
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