Difference between revisions of "SlopeField Command"
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| − | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> {{command|function}} |
| − | {{command|function}} | + | ;SlopeField( <f(x,y)> ) |
| − | ;SlopeField | ||
:Plots a [[w:Slope_field|slope field]] for the differential equation <math>\frac{dy}{dx}=f(x,y)</math> | :Plots a [[w:Slope_field|slope field]] for the differential equation <math>\frac{dy}{dx}=f(x,y)</math> | ||
| − | :{{example|1= <code>SlopeField | + | :{{example|1= <code>SlopeField(x+y)</code> plots the slope field. ''}} |
| − | ;SlopeField | + | |
| − | :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 | + | ;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 [[File:Menu view graphics.svg|link=|16px]] [[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 <math>\frac{dy}{dx}=f(x,y)</math>. 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> ) | |
| + | :Plots a slopefield for the differential equation <math>\frac{dy}{dx}=f(x,y)</math> inside the specified rectangle (rather than filling the [[File:Menu view graphics.svg|link=|16px]] [[Graphics View]]) | ||
| + | |||
| + | {{Notes|1= | ||
| + | :*Use the following tools: [[File:Mode translateview.svg|link=|22px]] [[Move_Graphics_View_Tool|Move Graphics View]], [[File:Mode zoomin.svg|link=|22px]] [[Zoom_In_Tool|Zoom In]], [[File:Mode zoomout.svg|link=|22px]] [[Zoom_Out_Tool|Zoom Out]] and observe the effect. | ||
| + | :*See also [[SolveODE Command|SolveODE]], [[Locus Command|Locus]], [[Integral Command|Integral]]}} | ||
Latest revision as of 09:48, 9 October 2017
- 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)
