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Question: draw timedependent vector field trajectories?

Question:draw timedependent vector field trajectories?

Raphael 4 Maple
January 15 2007
0
Hi, I'm new to maple and I would like to draw a plot of a time-dependent 2D Vectorfield and some trajectories: 1. I have the field udep := (x, y, t) -> cos(t)*x - sin(t)* (-y); vdep := (x, y, t) -> sin(t)*x + cos(t)* (-y); it looks like this: 2. now i would like to draw a trajectory T that has at every point a tangent parallel to the field (to show the path of a massless particle inside this field) dT/dx = u(x(t),y,z,t) dT/dy = u(x,y(t),z,t) with initial conditions x(0)=1, y(0)=1, t= 0..2*Pi but I don't know how... I appreciate your support! Raphael
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