For Educators · Complex Functions
Complex Functions for a differential equation
Built for educators teaching it to a class. Drop a live demo into a lecture or assign it as a shareable link — no lab installs. Simulate a differential equation live below — adjust the inputs and watch it respond, right in your browser.
Complex Function VisualizerLive
domain coloring · f(z) on the complex plane
Controls
Domain coloring maps each complex output to a color: hue = phase (argument), brightness = magnitude. Zeros are dark, poles are bright.
Data Inspector
Functionz^2
Huearg f(z)
Brightness|f(z)|
Reading this result: z² doubles every angle, so the hue wheel wraps twice around the single zero at the origin — a double root shows as two full color cycles.
Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.
Also for:StudentsResearchersEngineersHobbyists & MakersK-12 StudentsFirst RespondersGeneral version →
More with Complex Functions
Complex Functions for compound interestComplex Functions for a population curveComplex Functions for a loan payoffComplex Functions for a logistic mapComplex Functions for a Fibonacci sequenceComplex Functions for a fractal treeComplex Functions for a Fourier seriesComplex Functions for a Taylor approximation
Frequently asked questions
- Is this good for educators?
- Yes — this version of "Complex Functions for a differential equation" is framed for educators teaching it to a class. Drop a live demo into a lecture or assign it as a shareable link — no lab installs.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.