I am looking for a convenient and free online tool for plotting Direction Fields and Solution Curves of Ordinary Differential Equations. I tried the "Slope Field Plotter" on Geogebra; it worked tolerably well with direction fields, but for solution curves, some funny thing happens like this:
My Questions:
- Why does the solution curve appear to be very different from circles?
- Is there any alternative online free resources that will do a better job on this?
Edit:
I would love to use WolframaAlpha for this, if it works. Any suggestions on this?
$\endgroup$ 92 Answers
$\begingroup$Take a look at this tool:
Found it from the Wikipedia slope field page.
$\endgroup$ $\begingroup$You can use the command streamplot in wolframalpha like this:
streamplot[{1-x^2+y,1+x-y^2},{x,-3,3},{y,-3,3}]
where in the example above
$\dot{x}=1-x^2+y$ and $\dot{y}=1+x-y^2$
and the plot range is $x,y \in [-3,3]$
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