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asymptote: slopefield

 
 8.39 'slopefield'
 =================
 
 To draw a slope field for the differential equation dy/dx=f(x,y) (or
 dy/dx=f(x)), use:
 picture slopefield(real f(real,real), pair a, pair b,
                    int nx=nmesh, int ny=nx,
                    real tickfactor=0.5, pen p=currentpen,
                    arrowbar arrow=None);
 Here, the points 'a' and 'b' are the lower left and upper right corners
 of the rectangle in which the slope field is to be drawn, 'nx' and 'ny'
 are the respective number of ticks in the x and y directions,
 'tickfactor' is the fraction of the minimum cell dimension to use for
 drawing ticks, and 'p' is the pen to use for drawing the slope fields.
 The return value is a picture that can be added to 'currentpicture' via
 the 'add(picture)' command.
 
    The function
 path curve(pair c, real f(real,real), pair a, pair b);
 takes a point ('c') and a slope field-defining function 'f' and returns,
 as a path, the curve passing through that point.  The points 'a' and 'b'
 represent the rectangular boundaries over which the curve is
 interpolated.
 
    Both 'slopefield' and 'curve' alternatively accept a function 'real
 f(real)' that depends on x only, as seen in this example:
 
 import slopefield;
 
 size(200);
 
 real func(real x) {return 2x;}
 add(slopefield(func,(-3,-3),(3,3),20,Arrow));
 draw(curve((0,0),func,(-3,-3),(3,3)),red);
 
 
 
                              [slopefield1]
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