DFIELD and PPLANE
Two tools that allow students to visualize direction fields for first-order equtions and planar autonomous systems.
DFIELD and PPLANE are essential tools to an instructor of differential equations. DFIELD plots a direction field for a first-order differential equation, PPLANE plots vector fields for planar autonomous systems. Both allow the user to draw solution curves. There are a number of advanced features, such as finding equilibrium points, displaying linearizations, and plotting separatrices.
These programs are freely distributed over the internet. Two versions of these programs exist:
- Java versions that will run on any computer equipped with Java:
http://math.rice.edu/~dfield/dfpp.html - Matlab versions:
http://math.rice.edu/~dfield/index.html
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