Slope Fields with Mathematica
The Syntax OfÌýVectorPlot
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Unfortunately for us,ÌýMathematicaÌýdoes not have a specific function built-in for plotting the slope fields of differential equations. However, it does come very close to what we need with theÌýVectorPlotÌýcommand. To askÌýMathematicaÌýfor its syntax we would issue the following command:
?VectorPlot
Use the link below to launchÌýMathematicaÌýwith a new notebook, then type in the above command, hit ENTER, and come back here to continue.Ìý(Note: Unlike the introductory notebooks you recently completed, from now on your will be creating your own notebooks from scratch. None of the commands will have been entered into Mathematica for you. You will be working with a "blank canvas.")
You can switch toÌýMathematicaÌýby clicking on the button at left. This will open up a fresh notebook for you. It may take a while to start up. Don't forget to come back here when you're done! See you in a few minutes.Let's go andÌýsee what you should have gotten...
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