This page plots a system of differential equations of the form dy/dt = f(t,y).

For a much more sophisticated direction field plotter, see the MATLAB plotter written by John C. Polking of Rice University.

dy/dt= The direction field solver knows about trigonometric, logarithmic and exponential functions, but multiplication and evaluation must be entered explicitly (2*x and sin(x), not 2x and sin x).

The Display:
Minimum t:     Minimum y:     Arrow length:     Variable length arrows
Maximum t: Maximum y: Number of arrows:      
Line width:    Show initial position
Initial t and y (or click on the graph)


Licensing: This web page is provided in hopes that it will be useful, but without any warranty; without even the implied warranty of usability or fitness for a particular purpose.

You may use this web page for any personal or educational use.

For other uses, images generated by the phase plane plotter are licensed under the Creative Commons Attribution 4.0 International licence and should be credited as “Images generated by the direction field plotter at by Ariel Barton”.

If you have questions, comments, or concerns about this web page, please contact me at