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

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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.

• 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.