Direction Fields for Differential Equations

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This Demonstration lets you change two parameters in five typical differential equations. Observe the changes in the direction field and long-term behavior of the system. Notice the changes in both the lines of equilibrium and the direction of the field.

Contributed by: Stephen Wilkerson (August 2012)
(United States Military Academy West Point, Department of Mathematics)
Open content licensed under CC BY-NC-SA




[1] W. E. Boyce and R. C. DiPrima, Elementary Differential Equations with Boundary Value Problems, 9th ed., New York: John Wiley and Sons, 2008.

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