I just picked up a copy of Mathematica through Penn State, and I'm trying to figure out how to plot a direction field of a differential equation. For example, I have the differential equation [tex]dv/dt = 32 - 8v[/tex](adsbygoogle = window.adsbygoogle || []).push({});

I've found this page on Wolfram's site that shows you how to do it, but in the line

kind of confuses me with the arguments that are used. I understand the second two sets of arguments (x and y arguments), but what's up with the first one {1, Last[eqn]}? Where did the 1 and Last come from?Code (Text):In[3]:= field=PlotVectorField[{1,Last[eqn]},{x,-2,2},{y[x],-2,2}]

Also, there's another page on Wolfram's site that displays the following as the format for the PlotVectorField function:

What do (xu) and (yu) represent? The rest of it I understand (I think! ). Sorry for all of these questions. I'm definitely a Mathematica n00b and I think it's going to take a little getting used to. Thanks!Code (Text):PlotVectorField[f, {x, x0, x1, (xu)}, {y, y0, y1, (yu)}, (options)]

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# Direction Fields in Mathematica

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