Differential Equations and Exponential Solutions

This video gives examples of exponential solutions to problems involving radioactive decay, change in air pressure with altitude, bacterial growth, and compound interest vs. continuous compounding.
Wolfram's math site is used to graph several functions in this video such as the site below:
www.wolframalp...
Wolfram's Computational site is below:
www.wolframalp...
The example involving changing air pressure with altitude assumes that air temperature is constant. This is not normally the case since air temperature changes with altitude. So, the exponential example given in the video uses small changes in altitude with a constant temperature to be more realistic. The classical equation involving changes in air pressure with altitude is given in the barometric formula which can be referenced. To compare the example given in this video at a constant temperature (like 15 degrees C that was referenced), use the "Calculate Air Pressure at Altitude" table in the site below.
www.mide.com/p...
Note: Due to an editing error, this video continues on for several minutes after the end.