Difference between revisions of "SlopeField Command"
From GeoGebra Manual
m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)") |
(: Maximum value for n is 99) |
||
| (One intermediate revision by one other user not shown) | |||
| Line 2: | Line 2: | ||
;SlopeField( <f(x,y)> ) | ;SlopeField( <f(x,y)> ) | ||
: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. ''}} |
| Line 18: | Line 18: | ||
{{Notes|1= | {{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. | :*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]]}} | + | :*See also [[SolveODE Command|SolveODE]], [[Locus Command|Locus]], [[Integral Command|Integral]] |
| + | :*Maximum value for n is 99 | ||
| + | }} | ||
Latest revision as of 12:06, 26 April 2024
- 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)
