A tank is filled with 1000 sters of pure water. Brine containing 0.04 kg of salt per iter enters the tank at 6 iters per minute. Another brine solution containing 0.09 kg of salt per liter enters the tank at 5 liters per minute. The contents of the tank are kept thoroughly mixed and the drains from the tank at 11 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). $(t)-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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A tank is filled with 1000 liters of pure water. Brine containing 0.04 kg of salt per liter enters the tank at 6 iters per minute. Another brine solution
containing 0.09 kg of salt per liter enters the tank at 5 liters per minute. The contents of the tank are kept thoroughly mixed and the drains from the tank
at 11 liters per minute.
A. Determine the differential equation which describes this system. Let S(e) denote the number of kg of salt in the tank after t minutes. Then
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 0.04 kg of salt per liter enters the tank at 6 iters per minute. Another brine solution containing 0.09 kg of salt per liter enters the tank at 5 liters per minute. The contents of the tank are kept thoroughly mixed and the drains from the tank at 11 liters per minute. A. Determine the differential equation which describes this system. Let S(e) denote the number of kg of salt in the tank after t minutes. Then B. Solve the differential equation for S(t). s(t) =
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