# Difference between revisions of "SlopeField Command"

From GeoGebra Manual

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{{command|function}} | {{command|function}} | ||

;SlopeField[ <f(x,y)> ] | ;SlopeField[ <f(x,y)> ] | ||

− | :Plots a | + | :Plots a [[w:Slope_field|slope field]] for the differential equation <math>\frac{dy}{dx}=f(x,y)</math> |

+ | :{{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) | ||

+ | {{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

This page is about a feature that is supported only in GeoGebra 4.2. |

- 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