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Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Box the final Answer so i could easily study your work. Thank you :)

Subject: Differential Equation

Topic: Mixing Problem

A dirty lake was contaminated by a toxic substance. The lake has a volume of 100,000 liters of water with 10k lbs of the toxic substance. To solve this problem, they intentionally pour 1,000 liters of pure clean water per hour and releases the toxic water with the same rate. Also, for the water to be safe to drink, they need to take out at least 99% of the total toxins

a. find its differential equation.

b. can the water be drink after 1 week? why?

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