# Euler's Numerical Method for y'=f(x,y) and its Generalizations

Taught by OCW
• Currently 4.0/5 Stars.
9242 views | 3 ratings
Part of video series
Lesson Summary:

In this lesson, students are introduced to Euler's method, a basic numerical method for solving differential equations. The method involves finding the slope of the line element at the starting point, choosing a step size, and continuing the solution until reaching the next point. The lesson includes an example of using Euler's method to solve a non-trivial differential equation, and also discusses the limitations of the method and how to determine if the solution curve is convex or concave.

Lesson Description:

Euler's Numerical Method for y'=f(x,y) and its Generalizations -- Lecture 2. How to find numerical solutions to differential equations.

Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 23, 2008). License: Creative Commons BY-NC-SA.

• How are differential equations solved in real life?
• What is Euler's numerical method for solving differential equations?
• How do you solve a differential equation numerically?
• What is an initial value problem?
• What is an IVP?
• What are Euler's Equations?
• What is the Runge-Kutta 4th order method?
• #### Staff Review

• Currently 4.0/5 Stars.
This video does a great job of explaining Eulerâs method for finding numerical solutions to differential equations. This is a very practical and useful way of solving differential equations.
• #### gtaivalk

• Currently 5.0/5 Stars.
Thanks for the help