Differential Equations: Mixing Problems: Example 1
Math Easy Solutions
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!
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