Slopes: Differential Equations 4+

Name: Slopes: Differential Equations
Author: Tim Lucas

Tim Lucas

專為 iPad 設計

- 免費

描述

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.

2022年8月27日

版本 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.