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

**Follow-Ups**:**Re: directionfields from StreamPlot looks different from***From:*Murray Eisenberg <murray@math.umass.edu>