Given either a system of two first order autonomous differential equations, or a single first order differential equation, dfieldplot produces a direction field plot. There can be only one independent variable.

For plotting solution curves, see DEplot or phaseportrait.

The direction field presented consists of a grid of arrows tangential to solution curves. For each grid point, the arrow centered at () will have slope . For system of two first order autonomous differential equations this slope is computed using /, where these two derivatives are specified in the first argument to dfieldplot. Note: A system is determined to be autonomous when all terms and factors, other than the differential, are free of the independent variable. For more information, see DEtools[autonomous]. For the single first order differential equation, the slope is simply .

Optional equations for dfieldplot are in the DEplot help page.

The xrange and yrange parameters must be specified as follows.

By default, integration along a solution curve stops one mesh point after the specified range is exceeded.  This may be overridden by the obsrange option.