Slopes: Differential Equations

Slopes is for exploring graphical solutions to ordinary differential equations.

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 twelve 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.