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Differential Equations: Exponential Growth and Decay

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First published at 01:39 UTC on May 30th, 2018.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over further into differential equations and expand on my earlier videos on modeling population growth. The same basic model used in modeling population growth occurs actually very often in nature: in bacteria growth, radioactive decay, and compound interest, to name only a few. This model stems from the idea that the rate of change, either growth or decay, of a substance is often proportional to the amount of that substance. In other words, doubling the amount of a substance often doubles the rate of change as well. The result is a simple separable differential equation and the solution is an exponential function. This is a very interesting and important video because of the many applications that used the resulting solution, so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhtATE4Zy5KKR3_5Htw

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-exponential-growth-and-decay

Related Videos:

Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94
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
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI .

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