Differential Equations: Euler's Method: Example 2

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!!

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I don't always approximate the current flowing through an electric circuit but when I do I usually do all the calculations by hand ;)