Guess the Response
Guess the Response teaches pole-based intuition through eight predictions with animated impulse responses, entirely in your browser.
Challenge 1 of 8
Score: 0 / 0
What will the response do?
Choose a prediction before seeing the animation.
?
Make your prediction to reveal the curve.
At a glance
- Accepts
- One response prediction per question across eight selected simple-pole systems
- Outputs
- Score, explanations, pole diagrams and animated response graphs
- Where it runs
- Entirely in your browser, on your device
- What leaves your device
- No calculation inputs are uploaded; standard site usage analytics still apply
- Limits
- Selected simple-pole impulse responses only; zeros, residues and repeated-pole systems are not generalized
- Account
- Not required - there is no sign-up
- Price
- Free, with no watermark and no usage cap
- Made by
- Visrut
- Last updated
- 14 October 2026
What to notice
A mode associated with a simple pole p = α + iβ contains exp(αt) and oscillation at |β| radians per time unit. Negative α gives decay; positive α gives growth. Nonzero β gives oscillation.
These questions use selected real-valued impulse responses with simple poles and nonzero modal coefficients. Pole positions alone do not specify amplitude, phase or the full response; zeros and residues matter too. Repeated imaginary-axis poles can grow polynomially and are outside this quiz.
“Rings” here means oscillates and decays. A growing oscillation belongs in “Grows”; a sustained oscillation belongs in “Persists”.
Reference: poles and system responseFrequently asked questions
Does this upload my inputs?
The graphs and calculations run locally in your browser. There is no account or external calculation service.
Is this a symbolic Laplace calculator?
These are visual learning tools with causal presets, zero initial conditions and numerical simulations. They do not solve arbitrary symbolic expressions. Finite-window estimates are labelled separately from infinite-time transforms.