Phase Plane Explorer

dx/dt = f(x,y) | dy/dt = g(x,y) | RK4

Preset system

Equations

dx/dt =

dy/dt =

Use: sin cos tan exp ln sqrt abs pi x y

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Grid

Options

Show nullclines

Show vector field

Uniform arrows (same size & colour)

Arrow colour

Background

Launch trajectory

Click on the canvas, or enter initial condition:

x₀

y₀

Trajectories

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Ready. Draw to begin.

click to add trajectory

Vector field magnitude: low → high | — x-nullcline (dx/dt=0) — y-nullcline (dy/dt=0)