Difference between revisions of "SlopeField Command"

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{{command|function}}
 
{{command|function}}
 
;SlopeField[ <f(x,y)> ]
 
;SlopeField[ <f(x,y)> ]
:Plots a slopefield for the differential equation <math>\frac{dy}{dx}=f(x,y)</math>
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:Plots a [[w:Slope_field|slope field]] for the differential equation <math>\frac{dy}{dx}=f(x,y)</math>
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:{{example|1= <code>SlopeField[x+y]</code> plots the slope field. ''}}
 
;SlopeField[ <f(x,y)>, <Number n> ]
 
;SlopeField[ <f(x,y)>, <Number n> ]
 
:Plots a slopefield for the differential equation  <math>\frac{dy}{dx}=f(x,y)</math> on an n by n grid (if the Graphics View is square) or a smaller grid if not. Default is 40.
 
:Plots a slopefield for the differential equation  <math>\frac{dy}{dx}=f(x,y)</math> on an n by n grid (if the Graphics View is square) or a smaller grid if not. Default is 40.
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:Plots a slopefield for the differential equation  <math>\frac{dy}{dx}=f(x,y)</math> inside the specified rectangle (rather than filling the Graphics View)
 
:Plots a slopefield for the differential equation  <math>\frac{dy}{dx}=f(x,y)</math> inside the specified rectangle (rather than filling the Graphics View)
  
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{{Note|1= Use the following tools: [[Move_Graphics_View_Tool|Move Graphics View]], [[Zoom_In_Tool|Zoom In]], [[Zoom_Out_Tool|Zoom Out]] and observe the effect.}}
 
{{Note|1= See also  [[SolveODE Command|SolveODE]]}}
 
{{Note|1= See also  [[SolveODE Command|SolveODE]]}}

Revision as of 16:43, 2 July 2012


SlopeField[ <f(x,y)> ]
Plots a slope field for the differential equation \frac{dy}{dx}=f(x,y)
Example: SlopeField[x+y] plots the slope field.
SlopeField[ <f(x,y)>, <Number n> ]
Plots a slopefield for the differential equation \frac{dy}{dx}=f(x,y) on an n by n grid (if the Graphics View is square) or a smaller grid if not. Default is 40.
SlopeField[ <f(x,y)>, <Number n>, <Length Multiplier a> ]
Plots a slopefield for the differential equation \frac{dy}{dx}=f(x,y). The Length Multiplier 0<a≤1 determines how long the segments are.
SlopeField[ <f(x,y)>, <Number n>, <Length Multiplier a>, <Min x>, <Min y>, <Max x>, <Max y> ]
Plots a slopefield for the differential equation \frac{dy}{dx}=f(x,y) inside the specified rectangle (rather than filling the Graphics View)
Note: Use the following tools: Move Graphics View, Zoom In, Zoom Out and observe the effect.
Note: See also SolveODE
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