Example/DirectionFieldPlot

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Direction Field Plot Canvas Application Example

In this example the user can view a direction field plot for a system of differential equations. The equations are shown and can be modified before clicking the plot button to refresh the visualization.

The complete application source code is available here for you to inspect and modify. It uses the Canvas package to describe the interface, and a ScriptButton to implement an action.

with(DocumentTools:-Canvas):

FieldPlot := proc( canvas )
    local m := GetMath(canvas);
    local i, sys := [seq(i:-math,i=m)];
    local p := DEtools:-dfieldplot(sys,[x(t),y(t)],t=-2..2, x=-1..2, y=-1..2, arrows=SLIM, color=black, dirfield=[10,10]);

    local pelem := GetElements(canvas,"plot");
    local script := Script();
    SetActive(script,pelem[1]);
    SetPlot(script,p);
    ToString(script);
end proc:

sys := [diff(x(t),t)=x(t)*(1-y(t)), diff(y(t),t)=.3*y(t)*(x(t)-1)]:

p := DEtools:-dfieldplot(sys,[x(t),y(t)],t=-2..2, x=-1..2, y=-1..2, arrows=SLIM, color=black, dirfield=[10,10]):

cv := NewCanvas( ["Direction field plot:", op(sys), 
                   StaticPlot(p),
                   ScriptButton("Plot",FieldPlot,position=[500,50]) ]):

>	$ShareCanvas (cv)$

https://learn.maplesoft.com/#/?d=EGNFPOKPOTHNOHHRHHKGLRPQDRHUBGHQBQNJDJIPPLOFEONMFJHLFTBTFPOFDQDJLTNILSBQHFDUEKHQDTLIMNAPMMFGJHAJOKFT

>	$ShowCanvas (cv)$

Next Steps

Correct Solution Analysis Plus Try-Another

Return to DocumentTools[Canvas] Overview Page

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