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(t) denote the number of kg of salt in the tank after t minutes. Then Ds/ds= B. Solve the differential equation for S(t).

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(t) denote the number of kg of salt in the tank after t minutes. Then Ds/ds= B. Solve the differential equation for S(t).

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 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(t) denote the number of kg of salt in the tank after t minutes. Then Ds/ds=

B. Solve the differential equation for S(t).

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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