Student[VectorCalculus][FlowLine] - compute the flow line of a vector field in R^2 or R^3
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Calling Sequence
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FlowLine(F, G, options)
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Parameters
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F
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'Vector'(algebraic); specify the vector field
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G
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'Vector'(realcons), {list,set}('Vector'(realcons)); specify the starting point(s) of the flow
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options
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(optional) equation(s) of the form option=value where option is one of caption, output, fieldoptions, flowlineoptions, frames.
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Description
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The FlowLine(F, G) calling sequence displays the flow line of the vector field F starting at the point(s) G.
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The options arguments primarily control plot options.
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* If output = plot, the default caption is Arrows of the vector field, and the flow line(s) emanating from the given initial point(s).
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* If output = animation, the default caption is the one when output = plot plus the sentence During the animation, the marker on the flow line serves to show the direction in which it is traced.
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output = plot or animation
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This option controls the return value of the command.
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* output = plot returns a plot of the vector field and flow line(s). This is the default value.
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* output = animation returns an animation of an indicator flowing through the vector field (one for each flow line).
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A list of plot options for plotting the Vector field. The field is plotted using a call to plots[fieldplot] or plots[fieldplot3d], so options valid for these commands can be passed in this option. For more information on plotting options, see plot/options. The default value is [].
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A list of plot options for plotting the flow line(s). For more information on plotting options, see plot/options. The default value is [].
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Specifies the number of frames in the animation. The default value is 5.
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The default caption is constructed from the parameters and the command options. caption = "" disables the default caption. For more information about specifying a caption , see plot/typesetting.
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Compatibility
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The G parameter was updated in Maple 16.
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Examples
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The option scaling=constrained causes both axes to use the same scale, ensuring that a circle appears round.
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The commands to create the plots from the Plotting Guide are
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