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Differential Equations: Logistic Equation: Analytic Solution
In this video I go over the derivation of the analytic or explicit solution of the logistic differential equation for modeling population growth. The logistic equation is separable which makes it possible to solve the explicitly. In the derivation, I integrate using the method of partial fractions, so this video is a good refresher on that method as well. This solution, and its derivation is a very important mathematical model for population growth, so make sure to watch this video!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhtUE-DLtne5GAOtV5Q
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-logistic-equation-analytic-solution
Related Videos:
Differential Equations: Population Growth: Logistic Equation: Example 3: https://youtu.be/33XlP5vlVsM
Differential Equations: Population Growth: Logistic Equation: Example 2: https://youtu.be/vvL1STfPRkY
Differential Equations: Population Growth: Logistic Equation: Example 1: https://youtu.be/FMFTLa8URDg
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
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA
Differential Equations: Euler's Method: https://youtu.be/VlwVl-3oPDM
Partial Fraction Decomposition: General Techniques: http://youtu.be/bqf42x6nZoo
Power Functions and their Properties Part 1 - A Simple Explanation: http://youtu.be/2MKko4ZkSf0
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI
Derivative of y = ln|x| or absolute value of x: http://youtu.be/Trzm6tagKws .
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