Three large tanks contain brine, as shown in the following figure. Use the information in the figure

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Three large tanks contain brine, as shown in the following figure. Use the information in the figure to construct a mathematical model for the number of pounds of salt x₁(t), x₂(t), and x₃(t) at time t in tanks A, B, and C, respectively. Without solving the system, predict limiting values of x₁(t), x₂(t), and x₃(t) as t †’ ˆž.

pure water 4 gal/min B 200 gal 150 gal 100 gal mixture 4 gal/min mixture mixture 4 gal/min 4 gal/min

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A First Course in Differential Equations with Modeling Applications

ISBN: 978-1305965720

11th edition

Authors: Dennis G. Zill

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Question Posted: Jul 14, 2018 12:39 PM

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Three large tanks contain brine, as shown in the following figure. Use the information in the fi­gure

Question:

pure water 4 gal/min B 200 gal 150 gal 100 gal mixture 4 gal/min mixture mixture 4 gal/min 4 gal/min

Step by Step Answer:

A model is Or dx 1 dt 150 x 1 dx 2 dt 150 x 1 275 x 2 dx 3 dt 275 x 2 125 x 3 ...View the full answer

A First Course in Differential Equations with Modeling Applications

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Three large tanks contain brine, as shown in the following figure. Use the information in the figure