Phase Plane and Slope Field apps

You can use the Phase Plane and Slope Field apps to qualitatively analyze ordinary differential equations (ODEs).

These apps capture the functionality of the traditional PPlane and DField apps created by John C. Polking in MATLAB between 1995 and 2003 [1]. While similar in function to the original apps, the Slope Field and Phase Plane apps have been written entirely from scratch in MATLAB App Designer using modern MATLAB coding practices. This makes the new apps easier to maintain, edit, and use.

Getting Started

Tutorial videos that demonstrate how to use the apps are available at the GitHub repository:

https://github.com/MathWorks-Teaching-Resources/Phase-Plane-and-Slope-Field

Related Content

Qualitative Analysis of ODEs: an accompanying set of live scripts that teach the basics of qualitative ODE analysis using these apps.

Acknowledgements

Thank you to Roy Goodman at NJIT for his support of this project and many insightful suggestions.

[1] John C. Polking. DField and PPlane [Computer software]. (1995-2003). Available online: https://math.rice.edu/~polking/odesoft/dfpp.html