The Geometrical View of y'=f(x,y): Direction Fields, Integral Curves

Sick of ads?‚Äč Sign up for MathVids Premium
Taught by OCW
  • Currently 4.0/5 Stars.
9623 views | 2 ratings
Lesson Description:

The Geometrical View of y'=f(x,y): Direction Fields, Integral Curves -- Lecture 1. Understanding the geometrical view of 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.
More info at: http://ocw.mit.edu/terms

Additional Resources:
Questions answered by this video:
  • What are differential equations?
  • What are first-order differential equations?
  • What are ordinary differential equations?
  • What are differential equations?
  • What are first-order differential equations?
  • What are ordinary differential equations?
  • What are ODE's?
  • What are separable differential equations?
  • What differential equations are not solvable?
  • What are direction fields?
  • What are integral curves?
  • How do you draw a direction field?
  • Staff Review

    • Currently 4.0/5 Stars.
    This is a really great video introduction to ordinary differential equations. It explains exactly the geometric interpretation of what is going on. This lesson gives you a very complete, over-arching view of what differential equations look like in a plane. Also, direction fields and integral curves are discussed and drawn for equations.