New Options to Visualize Systems of Differential Equations in Maple
نویسنده
چکیده
The DEplot command in Maple is used to show the direction field and solution curves of a differential equation or system of differential equations. We present new options created for the DEplot command for enhancing the visualization of a direction field and for animating a direction field and the solution curves in time. We present a new Maplet, DEplotlet(DEplotInteractive), which simplifies the use of the DEplot command. We have also designed a database of different systems of differential equations which can be easily modified by the instructor. The database includes the Lotka-Volterra predator-prey system and the Kermack-McKendric epidemic model. It includes default choices for the parameters and for initial values so that the instructor and student can obtain a good plot with a single mouse click.
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