Difference between revisions of "SlopeField Command"

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<noinclude>{{Manual Page|version=4.2}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>{{betamanual|version=4.2}}
 
<noinclude>{{Manual Page|version=4.2}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>{{betamanual|version=4.2}}
 
{{command|function}}
 
{{command|function}}
;SlopeField[ <f'(x,y)> ]
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;SlopeField[ <f(x,y)> ]
:Plots a slopefield for the differential equation y = f'(x,y)
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:Plots a slopefield for the differential equation <math>\frac{dy}{dx}=f(x,y)</math>
;SlopeField[ <f'(x,y)>, <Number n> ]
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;SlopeField[ <f(x,y)>, <Number n> ]
:Plots a slopefield for the differential equation y = f'(x,y) 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> 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> ]
+
;SlopeField[ <f(x,y)>, <Number n>, <Length Multiplier a> ]
:Plots a slopefield for the differential equation y = f'(x,y). The Length Multiplier 0<a≤1 determines how long the segments are.
+
:Plots a slopefield for the differential equation <math>\frac{dy}{dx}=f(x,y)</math>. 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> ]  
+
;SlopeField[ <f(x,y)>, <Number n>, <Length Multiplier a>, <Min x>, <Min y>, <Max x>, <Max y> ]  
:Plots a slopefield for the differential equation y = f'(x,y) 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)
  
 
{{Note|1= See also  [[SolveODE Command|SolveODE]]}}
 
{{Note|1= See also  [[SolveODE Command|SolveODE]]}}

Revision as of 19:42, 13 May 2012


SlopeField[ <f(x,y)> ]
Plots a slopefield for the differential equation \frac{dy}{dx}=f(x,y)
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: See also SolveODE
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