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VisualDSolve, a package developed by Dan Schwalbe and Stan Wagon, provides a wide variety of tools for visualizing solutions to ordinary differential equations. Some of these methods are new, such as the ability to look at nullclines and related regions of flow for an autonomous system in the plane, and the use of curvy fish shapes to illustrate a direction field. A nifty feature of Mathematica is that one can use high precision as a means of verifying correctness of numerical solutions.
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