The ODEPlot() command outputs an interactive plot of a 1st order differential equation system of two equations, along with controls to explore and manipulate the plot, or adjust the input ODE or system and its parameters.

The plot itself shows the direction field of the system, and includes a default trajectory from an initial point.

Click on the plot to add more initial points and the corresponding trajectories through those points.

The controls included are as follows:

A combobox that allows you to select from a number of pre-set example ODE systems or choose a custom ODE system.

A math container that shows the equations of the current system being plotted and allows them to be changed.

A set of variable range bound settings that shows and allows for editing the variable range bounds.

A set of parameter settings that shows and allows for editing the system parameters.

A button to clear the set of initial values and corresponding trajectories.

$\mathrm{with}\left(\mathrm{Student}\left[\mathrm{ODEs}\right]\right)\:$

$\mathrm{ODEPlot}\left(\right)$

The Student[ODEs][ODEPlot] command was introduced in Maple 2021.

For more information on Maple 2021 changes, see Updates in Maple 2021.