Phase Plane and Slope Field apps

Version 1.2.0.0 (714 KB) by MathWorks Educator Content Development Team
You can use the Phase Plane and Slope Field apps to qualitatively analyze ordinary differential equations (ODEs).
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Updated 17 Nov 2023
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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

Cite As

MathWorks Educator Content Development Team (2026). Phase Plane and Slope Field apps (https://github.com/MathWorks-Teaching-Resources/Phase-Plane-and-Slope-Field/releases/tag/v1.2.0), GitHub. Retrieved .

MATLAB Release Compatibility
Created with R2021a
Compatible with R2021a and later releases
Platform Compatibility
Windows macOS Linux
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Version Published Release Notes
1.2.0.0

See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Phase-Plane-and-Slope-Field/releases/tag/v1.2.0
1.1.1

See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Phase-Plane-and-Slope-Field/releases/tag/v1.1.1
1.1.0

See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Phase-Plane-and-Slope-Field/releases/tag/v1.1.0
1.0.2

See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Phase-Plane-and-Slope-Field/releases/tag/v1.0.2
1.0.1

See release notes for this release on GitHub: https://github.com/MathWorks-Teaching-Resources/Phase-Plane-and-Slope-Field/releases/tag/v1.0.1
1.0.0

To view or report issues in this GitHub add-on, visit the GitHub Repository.
To view or report issues in this GitHub add-on, visit the GitHub Repository.