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Slopes: Differential Equations

Slopes: Differential Equations

by Tim Lucas

41 ratings
8 reviews
📚 Education
🔧 Utilities
Free

Details

  • Released
  • Updated
  • November 3, 2016
  • April 10, 2026

Features

Developer

Tim Lucas
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About

Explore graphical solutions to ordinary differential equations with this interactive educational tool. It offers six distinct activities, including plotting vector fields, solving systems of equations, and visualizing oscillations. Ideal for homework, classroom use, or research projects.

✓Interactive ODE exploration
✓Vector field plotting
✓Systems of equations solver
✓Numerical approximation methods
✓Bifurcation diagram creation
✓Preloaded and custom examples
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What's New in Slopes

2.7.2

April 10, 2026

Version 2.7.2 contains further updates for compatibility with iOS 26. Version 2.7.1 contains updates for compatibility with iOS 26. Version 2.7 contains a new "bifurcations" activity that shows provides three views to examine the stability of equilibrium solutions: a traditional slopefield with equilibrium solutions displayed by default, a bifurcation diagram with a phase line corresponding to the current parameter value, and a plot of y' versus y with arrows indicating the stability of the equilibria at the roots of y'.

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User reviews

Most RecentHighest RatedLowest Rated

Does it’s job with beauty and ease

Awesome app. Works very well for simple diff eqs. Good when you don’t want to use Mathematica or matlab.

Would love to see phase line or bifurcation diagram support in the future
WahwahwahwhWahwahwahwh

ty bro

Thank you bro, helped me for class, wish it was avaible online too.
Nour_999Nour_999

It’s one of the best

It help me a lot but unfortunately it’s new update doesn’t work on my iPad anymore
hamid229hamid229

Amazing and useful

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

Amazing Experience

This app has been super useful in class and runs great on my phone, hats off to the developers
MIT BeaversMIT Beavers
See 3 more reviews

Developer apps

Waves: Partial Diff Eq
Waves: Partial Diff Eq

by Tim Lucas

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(16)

Free
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FAQ

What is Slopes used for?

Slopes is an interactive environment designed for exploring graphical solutions to ordinary differential equations. It can be used for homework, in-class activities, or research projects involving ODEs.

What are the main features of Slopes?

Slopes includes activities like plotting slopefields and phase planes, solving systems of equations, visualizing oscillations, constructing numerical approximations using Euler's method and Runge-Kutta methods, and creating bifurcation diagrams.

Is Slopes suitable for beginners?

Yes, Slopes comes with six activities featuring preloaded examples to help users get started. It also allows users to input their own content for further exploration.

What devices does Slopes support?

Slopes is available on iPhone, iPad, and iPod, making it accessible for a wide range of Apple mobile devices.

How often is Slopes updated?

The latest version of Slopes is 2.7.1, and it was last updated on January 20, 2026. This indicates a commitment to ongoing development and improvements.

What is the age rating for Slopes?

Slopes has an age rating of 4+, making it suitable for a broad audience including younger learners and adults.

Does Slopes have ads?

No, Slopes is ad-free, providing an uninterrupted learning and exploration experience for its users.

What is the user sentiment for Slopes?

Slopes has a very high rating of 4.9 stars based on 40 ratings, indicating strong positive user sentiment and satisfaction with its functionality and educational value.