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Differential Equations: Euler's Method: Example 2

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First published at 06:39 UTC on September 19th, 2018.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over another example on applying Euler's Method to numerically approximate a solution to an initial-value problem and this time look at the same Electric Circuit example that I covered in my earlier video. In this example, I take a look at the differential equation used for the current flowing through an electric circuit and use Euler's Method to approximate what the current is after half a second, when given that the current is initially 0 at time 0, i.e. when the circuit is turned off then suddenly turned on.

Although this example is pretty straight forward, I decided not to use a calculator but instead solve the multiplication, addition, and subtraction all by hand as an exercise in algebra. Sometimes it is a good brain workout to work out calculations by hand. This might also come in handy, say for example, your calculator's battery dies during a math exam, which happened to me!!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhskVmSVF0NgsMRrs2w

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-euler-s-method-example-2

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