17th Century · The Question That Changed Engineering

The Birth of Differential Equations

How do you measure something that never stops changing?
Nature never stands still.
☕
Cooling
dT/dt = −k(T − T∞)
🌊
Oscillation
d²x/dt² = −ω²x
⚡
Circuit
L·dI/dt + RI = V
🚀
Motion
F = m·d²x/dt²

For millennia, mathematics could only describe things at rest. But nature is never at rest. Everything changes. And sometimes — the rate of change depends on the thing itself. That is the heart of a differential equation.