# Slopes: Differential Equations > Interactive educational app for exploring and solving ordinary differential equations. (iPhone/iPad app by Tim Lucas.) - Source: https://appshunter.io/ios/app/slopes-differential-equations/id1136920301 (this page in markdown: same URL + `.md`) - Developer: [Tim Lucas](https://appshunter.io/developer/1136916670) - Category: Education, Utilities - Price: Free - Rating: 4.90/5 from 41 App Store ratings · 8 written reviews indexed - Age rating: 4+ - Requires: iOS 15.0 · 21 MB - Languages: English - Released: 2016-11-03 - Data updated: 2026-06-01 - Monetization: free - User reviews in markdown: https://appshunter.io/ios/app/slopes-differential-equations/id1136920301/reviews.md ## What is Slopes? Slopes is an interactive environment for exploring graphical solutions to ordinary differential equations. Slopes consists of six 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. "Bifurcations" creates a bifurcation diagram and shows the stability of equilibrium points. Slopes is a playground for ODEs. You can use it for homework, in-class activities or a new research project. ## Key features - Interactive ODE exploration - Vector field plotting - Systems of equations solver - Numerical approximation methods - Bifurcation diagram creation - Preloaded and custom examples ## Recent user reviews (8 of 8) All indexed reviews: https://appshunter.io/ios/app/slopes-differential-equations/id1136920301/reviews.md ### 5/5 — Does it’s job with beauty and ease *2025-09-11* 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 ### 5/5 — ty bro *2024-12-11* Thank you bro, helped me for class, wish it was avaible online too. ### 5/5 — It’s one of the best *2019-12-09* It help me a lot but unfortunately it’s new update doesn’t work on my iPad anymore ### 5/5 — Amazing and useful *2019-03-26* Serves well in class when looking at vector fields and slope fields. ### 5/5 — Amazing Experience *2018-01-12* This app has been super useful in class and runs great on my phone, hats off to the developers ### 5/5 — Great for Differential Equations *2017-11-16* Very useful ### 5/5 — Best app around *2016-11-24* This app seems to be the first (and best) of its kind, AND ITS FREE! Made my homework 10x easier. ### 5/5 — Just what I needed to get an A! *2016-11-24* Slopes was a huge help with homework in differential equations. Should be a required download for all students. Highly recommend! ## Frequently asked questions about Slopes ### 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. ## Version history (last 5 releases) ### 2.7.2 — 2026-04-10 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'. ### 2.7.1 — 2026-01-20 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'. ### 2.7 — 2026-01-04 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'. ### 2.6.5 — 2025-01-20 Version 2.6.5: Minor bug fix for Slopefields activity and updated compatibility for the newest devices. 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. ### 2.6.4 — 2022-08-27 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. ## Apps similar to Slopes | App | Rating | Price | Category | | --- | --- | --- | --- | | [Matrix Solver Step by Step](https://appshunter.io/ios/app/matrix-solver-step-by-step/id1623894950) | 4.8 (62) | Free | Education | | [ODE-Solver-Integrator](https://appshunter.io/ios/app/ode-solver-integrator/id1619296705) | — | Free | Education | | [GraphMath](https://appshunter.io/ios/app/graphmath/id1582680101) | 5.0 (12) | Free | Education | | [Vectors and Planes](https://appshunter.io/ios/app/vectors-and-planes/id1605294727) | 4.5 (4) | Free | Education | | [Derivative-Calculus](https://appshunter.io/ios/app/derivative-calculus/id1618969952) | — | Free | Education | | [CourseGrab](https://appshunter.io/ios/app/coursegrab/id1510823691) | 3.6 (17) | Free | Education | ## More apps by Tim Lucas - [Waves: Partial Diff Eq](https://appshunter.io/ios/app/waves-partial-diff-eq/id1447533890) All apps by Tim Lucas: https://appshunter.io/developer/1136916670 ## Related topics [slopes](https://appshunter.io/ios/topics/slopes) · [Slopes](https://appshunter.io/ios/topics/slopes) · [diode dynamics](https://appshunter.io/ios/topics/diode-dynamics) · [differential enterprises](https://appshunter.io/ios/topics/differential-enterprises) --- *Data collected daily from the US App Store and indexed by [AppsHunter](https://appshunter.io/). User reviews are verbatim App Store reviews. Ratings, prices and chart positions refresh continuously; this snapshot is from 2026-06-01.*