Slopes: Differential Equations 4+

Tim Lucas

Designed for iPad

    • 4.9 • 36 Ratings
    • Free



Slopes is an interactive environment for exploring graphical solutions to ordinary differential equations. Slopes consists of five activities with preloaded examples to get you started and the ability to input your own content. "Slopefields" and “Phase Planes” both plot vector fields and solutions corresponding to multiple initial conditions. “Systems” dynamically solves systems of up to six equations. “Oscillations” solves second-order constant coefficient equations and animates the corresponding spring-mass system or RLC circuit. “Methods” constructs numerical approximations of a single ordinary differential equation using Euler’s method as well as Second and Fourth Order Runge-Kutta methods. Slopes is a playground for ODEs. You can use it for homework, in-class activities or a new research project.

What’s New

Version 2.6.4

Version 2.6.4: Minor bug fix for Slopefields activity.
Version 2.6.3: Updated compatibility for the newest devices such as iPhone 13, iPad 9.
Version 2.6.2: Improved compatibility with newer iPads
Version 2.6.1: Improved zooming when Nullclines are shown in Phase Planes. Minor bug fix for newer iPad users.
Version 2.6.0: Improved performance of solutions in all activities. Improved performance and stability of Nullclines feature. Bug fixes for Methods activity and general bug fixes.

Ratings and Reviews

4.9 out of 5
36 Ratings

36 Ratings

MIT Beavers ,

Amazing Experience

This app has been super useful in class and runs great on my phone, hats off to the developers

hamid229 ,

It’s one of the best

It help me a lot but unfortunately it’s new update doesn’t work on my iPad anymore

TimmyKyaw ,

Amazing and useful

Serves well in class when looking at vector fields and slope fields.

App Privacy

The developer, Tim Lucas, indicated that the app’s privacy practices may include handling of data as described below. For more information, see the developer’s privacy policy.

Data Not Collected

The developer does not collect any data from this app.

Privacy practices may vary, for example, based on the features you use or your age. Learn More

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