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!!

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

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Related Videos:

Differential Equations: Euler's Method: Example 1: https://youtu.be/L_l5DLZsZLQ Differential Equations: Electric Circuit: Introduction: https://youtu.be/E6vij-RzQ-o Differential Equations: Direction Fields: Example 1: https://youtu.be/mtbMQQZeMoQ Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac Differential Equations: General Overview: https://youtu.be/jit59tIY4UI Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA Addition and Subtraction by Hand - An in-depth look: http://youtu.be/Tkb7xU-lFWU Multiplication by Hand - In depth look at the wonderful world of multiplication: http://youtu.be/bUKGh5R_0Sw Long Division by Hand - An in depth look: http://youtu.be/giBZg5Vqryo .

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