How do I simulate a differential equation?

Open this page and use the live Parametric Grapher tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive a differential equation from your own measurements.

Use case · powered by Parametric Grapher

Parametric Grapher for a differential equation

Simulate a differential equation live in your browser. This runs the real Parametric Grapher solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

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Parametric Curve GrapherLive

x(t), y(t) traced over time

Controls

x(t)y(t)

▶ Run in Python

Data Inspector

x(t)param

y(t)param

t range0…6.3

Governing equation

x (t) = cos(3*t), y (t) = sin(4*t)

Reading this result: x(t)=cos(3*t), y(t)=sin(4*t) are swept over t from 0 to 6.3 — a full 2π range, so periodic curves close into a complete loop.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

or unlock everything with Pro →

About this simulation

The full Parametric Grapher tool models a differential equation with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Parametric Grapher

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Other ways to simulate a differential equation

Visual Node Graph for a differential equation Symbolic Math for a differential equation Vector Fields for a differential equation Notebook for a differential equation Fractal Explorer for a differential equation Fourier Series for a differential equation

Frequently asked questions

How do I simulate a differential equation?: Open this page and use the live Parametric Grapher tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive a differential equation from your own measurements.