Slopes: Differential Equations

Education

Free · Designed for iPad

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.

Ratings & Reviews

  • 4.9
    out of 5
    40 Ratings

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'.

Version 2.7.1

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

    Accessibility

    The developer has not yet indicated which accessibility features this app supports. Learn More

    Information

    • Seller
      • Tim Lucas
    • Size
      • 22.4 MB
    • Category
      • Education
    • Compatibility
      Requires iOS 15.0 or later.
      • iPhone
        Requires iOS 15.0 or later.
      • iPad
        Requires iPadOS 15.0 or later.
      • iPod touch
        Requires iOS 15.0 or later.
      • Mac
        Requires macOS 12.0 or later and a Mac with Apple M1 chip or later.
      • Apple Vision
        Requires visionOS 1.0 or later.
    • Languages
      • English
    • Age Rating
      4+
    • Copyright
      • © 2017 Timothy A. Lucas
  • Developer Website
  • Privacy Policy

    • More by Tim Lucas

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