RE: Help-directional fields
- To: mathgroup at smc.vnet.net
- Subject: [mg40325] RE: [mg40312] Help-directional fields
- From: "David Park" <djmp at earthlink.net>
- Date: Tue, 1 Apr 2003 04:52:17 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Freddy,
We have dy/dx == Sin[x-y] or dy == Sin[x-y]dx. So our slope field is {dx,dy}
== {dx,Sin[x-y]dx} == dx{1,Sin[x-y]}. Take dx == 1 and the vector field
is...
field[x_, y_] := {1, Sin[x - y]}
We can then plot with...
Needs["Graphics`PlotField`"]
Needs["Graphics`Colors`"]
PlotVectorField[field[x, y], {x, -Pi, Pi}, {y, -Pi, Pi},
Frame -> True,
FrameLabel -> {x, y},
PlotLabel -> y'[x] == Sin[x - y],
Axes -> True,
AxesStyle -> LightBlue,
Background -> Linen,
ImageSize -> 500];
David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/
From: Freddy [mailto:alligatoralligator at hotmail.com]
To: mathgroup at smc.vnet.net
Hi, I am trying to plot a directional field plot for the DE
y'=sin(x-y). The question suggests using a viewing window such as
-10=x=10, -10=y=10 I have spent hours and hours trying to get this to
work, but I must be doing something wrong. Can anyone please, please
help me with typing the right commands?