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Visualizing Vector Fields

  1. Jan 5, 2012 #1
    Hello all,
    Just looking for tips on "visualizing" vector fields and perhaps drawing them. I have encountered a few that have given me trouble.
    As an example,
    [tex]\vec{F}(x, y)=[cos(y), -cos(x)][/tex]
    Applying [itex] dx/F_1=dy/F_2[/itex] I get,
    [tex]sin(x)+sin(y)=C[/tex]
    I have also seen what the vector field looks like, but I am wondering if there are any techniques for questions like these.
     
  2. jcsd
  3. Jan 5, 2012 #2

    lavinia

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    Gold Member

    one way to visualize vector fields is to draw their integral curves, the curves c(t) such that c'(t) = F
     
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