Visualizing Vector Fields

  • #1
798
1

Main Question or Discussion Point

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.
 

Answers and Replies

  • #2
lavinia
Science Advisor
Gold Member
3,232
620
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.
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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