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water 12 L/min 200 L A Mixture 4 L/min Mixture 16 L/min Mixture 12 L/min 200 L 0 Tank A contains 200 liters of water in which 20 kg are dissolved. of salt A second tank. B. contains 200 liters of pure water. Liquid is pumped to and from the tanks, in the proportions indicated in the figure. a) Deduce the differential equations for x(t) and y(t), which provide the kilograms of salt that exist at any instant in tanks A and B. respectively. b) Determine the amount of salt in tanks A and B after 10 minutes.

water 12 L/min 200 L A Mixture 4 L/min Mixture 16 L/min Mixture 12 L/min 200 L 0 Tank A contains 200 liters of water in which 20 kg are dissolved. of salt A second tank. B. contains 200 liters of pure water. Liquid is pumped to and from the tanks, in the proportions indicated in the figure. a) Deduce the differential equations for x(t) and y(t), which provide the kilograms of salt that exist at any instant in tanks A and B. respectively. b) Determine the amount of salt in tanks A and B after 10 minutes.

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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water 12 L/min 200 L A Mixture 4 L/min Mixture 16 L/min Mixture 12 L/min 200 L (1 Tank A contains 200 liters of water in which 20 kg are dissolved. of salt A second tank. B. contains 200 liters of pure water. Liquid is pumped to and from the tanks, in the proportions indicated in the figure. a) Deduce the differential equations for x(t) and y(t), which provide the kilograms of salt that exist at any instant in tanks A and B. respectively. b) Determine the amount of salt in tanks A and B after 10 minutes.
Transcribed Image Text:water 12 L/min 200 L A Mixture 4 L/min Mixture 16 L/min Mixture 12 L/min 200 L (1 Tank A contains 200 liters of water in which 20 kg are dissolved. of salt A second tank. B. contains 200 liters of pure water. Liquid is pumped to and from the tanks, in the proportions indicated in the figure. a) Deduce the differential equations for x(t) and y(t), which provide the kilograms of salt that exist at any instant in tanks A and B. respectively. b) Determine the amount of salt in tanks A and B after 10 minutes.
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