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Differential Equations: Separable Equations: Example 4

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First published at 23:36 UTC on August 13th, 2018.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over another example on separable equations and this time revisit the differential equation for the simple electric circuit that I had covered in my earlier videos. In my earlier videos I looked at approximating solutions by using a direction field but this time I show how that the differential equation is in fact a separable equation and can be solved explicitly for the current as a function of time. I also graph the solution for the initial value problem where the switch is closed at time = 0 seconds. The solution proves that our approximation using a direction field is, in fact, very accurate!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhspQUqJCvUbwzuU2zQ

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-separable-equations-example-4

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