Slopes: Differential Equations

Education

Free · Designed for iPad

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.

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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.

Version 2.6.5

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.

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    Accessibility

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    Information

    • Provider
      • Tim Lucas
    • Size
      • 41 MB
    • Category
      • Education
    • Compatibility
      Requires iOS 12.0 or later.
      • iPhone
        Requires iOS 12.0 or later.
      • iPad
        Requires iPadOS 12.0 or later.
      • iPod touch
        Requires iOS 12.0 or later.
      • Mac
        Requires macOS 11.0 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
  • Privacy Policy

    • More by Tim Lucas

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