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Two tanks are interconnected. Tank A contains 80 grams of salt in 20 lite grams of salt in 40 liters of water. A solution of 4 gram/L flows into Tank A at a rate of 10 L/min, while a s B at a rate of 6 L/min. The tanks are well mixed.

Two tanks are interconnected. Tank A contains 80 grams of salt in 20 lite grams of salt in 40 liters of water. A solution of 4 gram/L flows into Tank A at a rate of 10 L/min, while a s B at a rate of 6 L/min. The tanks are well mixed.

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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Differential equation please help not sure what i m doing wrong
Two tanks are interconnected. Tank A contains 80 grams of salt in 20 liters of water, and Tank B contains 60 grams of salt in 40 liters of water. A solution of 4 gram/L flows into Tank A at a rate of 10 L/min, while a solution of 2 grams/L flows into Tank B at a rate of 6 L/min. The tanks are well mixed. The tanks are connected, so 11 L/min flows from Tank A to Tank B, while 1 L/min flows from Tank B to Tank A. An additional 16 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. dx dt dy dt 11 2- 3 10 x(0) = 80 11 400 + x + 11 800 X Submit Question 40 Y 17 1600 ‚y(0): = 60 Y X X
Transcribed Image Text:Two tanks are interconnected. Tank A contains 80 grams of salt in 20 liters of water, and Tank B contains 60 grams of salt in 40 liters of water. A solution of 4 gram/L flows into Tank A at a rate of 10 L/min, while a solution of 2 grams/L flows into Tank B at a rate of 6 L/min. The tanks are well mixed. The tanks are connected, so 11 L/min flows from Tank A to Tank B, while 1 L/min flows from Tank B to Tank A. An additional 16 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. dx dt dy dt 11 2- 3 10 x(0) = 80 11 400 + x + 11 800 X Submit Question 40 Y 17 1600 ‚y(0): = 60 Y X X
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