Differential Equations: Euler's Method: Example 1

In this video I go over an example on Euler's Method for numerically approximating solutions to a differential equation and this time look at the initial-value problem: y' = x + y with y(0) = 1. Initially I use the step size of 0.1 to roughly approximate the solution at x = 0.1, 0.2, ..., 1.0. But to get more accurate approximations we can decrease the step size even further. As shown in this video, when we decrease the step size further and further the solution approaches closer and closer to the exact value. This is a very useful video to understand Euler's method in detail, as well as how to develop spreadsheets to calculate it, so make sure to watch this video!

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Related Videos:

Differential Equations: Euler's Method: https://youtu.be/VlwVl-3oPDM

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 .

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