Two well-mixed tanks are interconnected. Tank A contains 60 grams of salt in 40 liters of water, and Tank B contains 70 grams of salt in 20 liters of water. A briny solution with concentration 2 gram/L flows into Tank A at a rate of 7 L/min, while a solution with concentration 3 grams/L flows into Tank B at a rate of 5 L/min. The tanks are connected, so 8 L/min flows from Tank A to Tank B, while 1 L/min flows from Tank B to Tank A. An additional 12 L/min drains from Tank B. Letting x1 represent the grams of salt in Tank A, and 2 represent the grams of salt in Tank B, set up the IVP for amount of salt in these two tanks. x1'= x2= x1(0) x2(0) =
Two well-mixed tanks are interconnected. Tank A contains 60 grams of salt in 40 liters of water, and Tank B contains 70 grams of salt in 20 liters of water. A briny solution with concentration 2 gram/L flows into Tank A at a rate of 7 L/min, while a solution with concentration 3 grams/L flows into Tank B at a rate of 5 L/min. The tanks are connected, so 8 L/min flows from Tank A to Tank B, while 1 L/min flows from Tank B to Tank A. An additional 12 L/min drains from Tank B. Letting x1 represent the grams of salt in Tank A, and 2 represent the grams of salt in Tank B, set up the IVP for amount of salt in these two tanks. x1'= x2= x1(0) x2(0) =
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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