Consider the following tank-water system. Tank A holds 200 liters of water, initially pure. Brine with a concentration of 3 grams of salt per liter flows into tank A at 5 liters per minute. The solution flows out of tank A into tank B at a rate of 5 liters per minute. Tank B is a 125 liter tank of initially pure water which receives the outflow from tank A, and the well-mixed solution flows out of tank B at 5 liters per minute. Write down a system of differential equations that models the scenario.
Consider the following tank-water system. Tank A holds 200 liters of water, initially pure. Brine with a concentration of 3 grams of salt per liter flows into tank A at 5 liters per minute. The solution flows out of tank A into tank B at a rate of 5 liters per minute. Tank B is a 125 liter tank of initially pure water which receives the outflow from tank A, and the well-mixed solution flows out of tank B at 5 liters per minute. Write down a system of differential equations that models the scenario.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 15EQ
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Consider the following tank-water system. Tank A holds 200 liters of water, initially pure. Brine with a concentration of 3 grams of salt per liter flows into tank A at 5 liters per minute. The solution flows out of tank A into tank B at a rate of 5 liters per minute. Tank B is a 125 liter tank of initially pure water which receives the outflow from tank A, and the well-mixed solution flows out of tank B at 5 liters per minute. Write down a system of differential equations that models the scenario.
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