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directionfields from StreamPlot looks different from solution
*To*: mathgroup at smc.vnet.net
*Subject*: [mg100444] directionfields from StreamPlot looks different from solution
*From*: sean_incali at yahoo.com
*Date*: Thu, 4 Jun 2009 03:32:35 -0400 (EDT)
I don't think I'm using StreamPlot properly.
Consider the following non-autonomous ODE
y'[t] == (t^2) - y[t]
Solutions for various ICs can be viewed by the following.
sol= Table[NDSolve[{y'[t] == (t^2) - y[t], y[0] == y0}, y[t], {t, -4,
4}], {y0, 0, 6, 0.5}];
Plot[Evaluate[y[t] /. sol], {t, -4, 4}, PlotRange -> {{-4, 4}, {-2,
10}}]
Shouldn't Vector fields be similar to the solutions above? If I plot t
on x-axis vs. t^2-y on y axis...
VectorPlot[{t, (t^2) - y}, {t, -4, 4}, {y, -2, 10}]
StreamPlot[{t, (t^2) - y}, {t, -4, 4}, {y, -2, 10}]
I don't get similar results...
What is the reason for this?
Thanks much in advance
Sean
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