Phase Plane Plotter
An Interactive Applet powered by Sage and MathJax.
(By Thomas Scofield)
\textrm{Given a planar 1st order system initial value problem } \newline
\textrm{} \qquad\begin{array}{l} x' = f(t,x,y) \\ y' = g(t,x,y) \end{array},
\qquad (x_0, y_0) = (x(t_0), y(t_0)), \newline
\textrm{(} t \textrm{ is independent, }
x, y \textrm{ are dependent), this app plots the corresponding solution} \newline
\textrm{curves }
(x(t), y(t)) \textrm{ parametrically on the phase plane. For autonomous} \newline
\textrm{systems, we plot the slope field and attempt to plot equilibria (red points).}
Last modified on July 29th, 2017.