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Differential Equations: Mixing Problems: Example 1
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
Related Videos:
Differential Equations: Orthogonal Trajectories: Example 1: https://youtu.be/WE5Zltu-9cI
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94
Differential Equations: Euler's Method: Example 2: https://youtu.be/-4qb_mniDR0
Differential Equations: Euler's Method: Example 1: https://youtu.be/L_l5DLZsZLQ
Differential Equations: Electric Circuit: Introduction: https://youtu.be/E6vij-RzQ-o
Differential Equations: Direction Fields: Example 1: https://youtu.be/mtbMQQZeMoQ
Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac
Differential Equations: General Overview: https://youtu.be/jit59tIY4UI
Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA
Orthogonal Trajectories - A Brief Introduction: http://youtu.be/b4GpN01EiAc
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI
Derivative of y = ln|x| or absolute value of x: http://youtu.be/Trzm6tagKws
Power Functions and their Properties Part 1 - A Simple Explanation: http://youtu.be/2MKko4ZkSf0 .
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