Direction field

Direction fields (sometimes vector fields, or integral curves) are visual representations of first-order ODEs. We can derive solutions by tracing a line across the field.

Below is an example direction field for $y^{\prime }=x+y-1$.¹

See also

• Phase plot

Footnotes

1. From Ordinary Differential Equations: Analytical Methods and Applications, by Henner, Nepomnyashchy, Belozerova, and Khenner. ↩