Slopes: Differential Equations
iOS Universel / Education
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.
Quoi de neuf dans la dernière version ?
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'.
