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Differential Equations: Population Growth: Logistic Equation: Example 4

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First published at 22:46 UTC on April 21st, 2018.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over another example on the logistic differential equation for modeling population growth, and this time analyze the analytic or explicit solution to the same initial value problem that I have covered in my earlier examples. In my last video I derived the analytic solution to the logistic equation, and I use that solution to solve and compare the results of logistic equation I used in examples 1 to 3. This is a very interesting video on how to apply the analytic solution as well as comparing with the Euler estimates to the solution, so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhtUQEG_4pcmXg5w9XA

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-population-growth-logistic-equation-example-4

Related Videos:

Differential Equations: Logistic Equation: Analytic Solution: https://youtu.be/BlvLWTSYDDk
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
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI .