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Differential Equations: Population Growth: Example 1

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First published at 22:41 UTC on May 19th, 2018.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over an example on population growth and this time try to model the world population during the 20th century (that is from the year 1900 to 2000). The first model involves estimating the relative growth rate from the 1910 population, but the accuracy becomes an issue in the more recent years. Similarly, with the second model, which uses the 1950 population to estimate the relative growth rate, despite this model being more accurate than the first model, it is still not that accurate in the recent years. But regardless of the accuracy of these models, this is a good video in understanding how to go about applying the differential equations concepts to creating a model for population growth. In later videos, I will go over more accurate models so stay tuned for those!

NOTE: I made a mistake at 7:00: should be 0.6% and NOT 6%.

Download the notes in my video:

Written Notes: https://1drv.ms/b/s!As32ynv0LoaIhtBORp62K5rxZx8UTQ
Excel File: https://1drv.ms/x/s!As32ynv0LoaIhtBQFbcWEM27hOsxnA

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-population-growth-example-1

Related Videos:

Differential Equations: Population Growth: Proportionality Constant: https://youtu.be/y4cJX0rcXqw
Differential Equations: Exponential Growth and Decay: https://youtu.be/DZtDUIZuxcg
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI .

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