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Differential Equations: Mixing Problems: Example 1

Math Easy Solutions

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First published at 22:38 UTC on August 3rd, 2018.

#mathematics
#calculus
#science

In this video I go over the application of Mixing Problems, or in other words the mixing of varying concentrations of a substance into a liquid, and show how the mathematical representation of the process often yields a separable differential equation. In this example, I determine the amount of salt inside a tank after 30 minutes, while a high concentration of salty water, called brine, is added at a fixed flow rate, and which is the same flow rate that the mixed solution inside the tank leaves the tank. This is a very interesting video to see how mathematically modeling such applications yields differential equations, and in this example luckily it is a simple separable equation that we are in fact able to solve explicitly!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhssn4Z6ijqIlitDe-g

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-mixing-problems-example-1

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