SlopeField Command

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, Locus, Integral