Population Growth: Other Models: Harvesting: Example 1 Part 2

Math Easy Solutions

First published at 23:23 UTC on April 15th, 2018.

In this video I go over part 2 of the Example 1 video on other models of population growth, which looked at the accounting for the harvesting, or catching of fish in modeling a fish population. This part of the example involves solving the solution to the differential equation model explicitly and compare the results with that obtained graphically, through the use of direction fields, in part 1. This is a very interesting video on just how tedious and labor-intensive the derivation of the explicit solution becomes when modifying the logistic equation even by adding a simple constant to the equation. So follow through the entire derivation if you can because it will be a great way to learn how many mathematical concepts come together!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhtV_sXISrRyKNlXHsA

Related Videos:

Population Growth: Other Models: Harvesting: Example 1 Part 1: https://youtu.be/ZLQEJwViIw0
Population Growth: Introduction to Other Models: https://youtu.be/-l5Anv9VA3M
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA
Differential Equations: Logistic Equation: Analytic Solution: https://youtu.be/BlvLWTSYDDk
Differential Equations: Population Growth: Logistic Equation: https://youtu.be/yE8aoY8Bks4
Differential Equations: Population Growth: Proportionality Constant: https://youtu.be/y4cJX0rcXqw
Differential Equations: Exponential Growth and Decay: https://youtu.be/DZtDUIZuxcg
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94
Differential Equations: Euler's Method: https://youtu.be/VlwVl-3oPDM
Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac
Power Functions and their Properties Part 1 - A Simple Explanation: http://youtu.be/2MKko4ZkSf0
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI
Partial Fraction Decomposition: General Techniques: http://youtu.be/bqf42x6nZoo .


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