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92 experiments / 15 branches

THE EXPONENTIAL FAMILY

One differential equation in five costumes — a spring, a dashpot, a capacitor, a coil, and a nucleus.

1

SPRING

A circle’s shadow — the phasor shows why everything oscillates in cosines.

5 STAGES · 12 TERMS

2

DAMPED

ma + cv + kx = 0 at every drawn frame — ring, settle, or crawl.

5 STAGES · 8 TERMS

3

RC

RC·dV/dt + V = 0 at every frame — the exponential goodbye, audited.

5 STAGES · 8 TERMS

4

RLC

Lq″ + Rq′ + q/C = 0 — the damped oscillator’s own code, running in copper.

5 STAGES · 8 TERMS

5

HALF-LIFE

N(k·t½) === N₀/2ᵏ bitwise — the law of halves as an identity, no dice anywhere.

5 STAGES · 8 TERMS

THEORY IN PLAY — Interactive Physics ·

Pause at stages ←→ step · PgUp/Dn stage · Space play

Speed Loop scene

Given

Computed