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Two tanks are interconnected. Tank A contains 80 grams of salt in 40 liters of water, and Tank B contains 70 grams of salt in 60 liters of water. A solution of 3 gram/L flows into Tank A at a rate of 8 L/min, while a solution of 1 grams/L flows into Tank B at a rate of 10 L/min. The tanks are well mixed. The tanks are connected, so 11 L/min flows from Tank A to Tank B, while 3 L/min flows from Tank B to Tank A. An additional 18 L/min drains from Tank B. Letting a represent the grams of salt in Tank A, and y represent the grams of salt in Tank B, set up the system of differential equations for these two tanks. dr dt dy dt -24- y+ X 60 3 40 10-21x + 11y X X

Two tanks are interconnected. Tank A contains 80 grams of salt in 40 liters of water, and Tank B contains 70 grams of salt in 60 liters of water. A solution of 3 gram/L flows into Tank A at a rate of 8 L/min, while a solution of 1 grams/L flows into Tank B at a rate of 10 L/min. The tanks are well mixed. The tanks are connected, so 11 L/min flows from Tank A to Tank B, while 3 L/min flows from Tank B to Tank A. An additional 18 L/min drains from Tank B. Letting a represent the grams of salt in Tank A, and y represent the grams of salt in Tank B, set up the system of differential equations for these two tanks. dr dt dy dt -24- y+ X 60 3 40 10-21x + 11y X X

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.5: Equations With The Variable On Both Sides
Problem 16P
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Two tanks are interconnected. Tank A contains 80 grams of salt in 40 liters of water, and Tank B contains 70 grams of salt in 60 liters of water. A solution of 3 gram/L flows into Tank A at a rate of 8 L/min, while a solution of 1 grams/L flows into Tank B at a rate of 10 L/min. The tanks are well mixed. The tanks are connected, so 11 L/min flows from Tank A to Tank B, while 3 L/min flows from Tank B to Tank A. An additional 18 L/min drains from Tank B. Letting a represent the grams of salt in Tank A, and y represent the grams of salt in Tank B, set up the system of differential equations for these two tanks. da dt dy dt 3 - 24- 2+ X 40 10 21x + 11y X X
Transcribed Image Text:Two tanks are interconnected. Tank A contains 80 grams of salt in 40 liters of water, and Tank B contains 70 grams of salt in 60 liters of water. A solution of 3 gram/L flows into Tank A at a rate of 8 L/min, while a solution of 1 grams/L flows into Tank B at a rate of 10 L/min. The tanks are well mixed. The tanks are connected, so 11 L/min flows from Tank A to Tank B, while 3 L/min flows from Tank B to Tank A. An additional 18 L/min drains from Tank B. Letting a represent the grams of salt in Tank A, and y represent the grams of salt in Tank B, set up the system of differential equations for these two tanks. da dt dy dt 3 - 24- 2+ X 40 10 21x + 11y X X
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