Euler’s Method - A Step-by-Step Guide for Solving Differential Equations
In this video, we'll explore the basics of Euler’s Method for numerically solving ordinary differential equations (ODEs). We walk through a simple example to illustrate the process and derive the general recursive formula used to approximate solutions. Perfect for students learning how to apply numerical methods to differential equations!

What You Will Learn

The concept of Euler’s Method and how it approximates solutions to ODEs.
How to derive and use the recursive formula for Euler’s Method.
A detailed example that estimates the solution of an initial value problem step-by-step.
Understanding how step size (h) affects the accuracy of the solution.
Euler’s Method provides a straightforward numerical approach for approximating the solutions of differential equations. This tutorial walks through a first-order ODE, showing how to apply the recursive formula given by Euler's method to estimate the solution iteratively. By understanding the basics of this technique, you'll be able to tackle more complex differential equations in your studies.

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