A 100,000 liter tank of pure water was accidentally mixed with a 7000 liters of salt with a concentration of 90k kilos.  To solve this problem, they continuously pour fresh water into the tank at a rate of 50 liters per minute and release the salt solution at the same rate. Find: The differential equation on this problem. The amount of salt after 3 days. Number of minutes at half of the original salt content.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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A 100,000 liter tank of pure water was accidentally mixed with a 7000 liters of salt with a concentration of 90k kilos.  To solve this problem, they continuously pour fresh water into the tank at a rate of 50 liters per minute and release the salt solution at the same rate. Find:

The differential equation on this problem.

The amount of salt after 3 days.

Number of minutes at half of the original salt content.

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