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Mathematics

The Method of Separation of Variables for Partial Differential Equations

Quick fact

Separation of variables was pioneered by d'Alembert, Euler, and Fourier in the 18th century, and it is the reason Fourier series were invented.

Why this is interesting

You have a complicated equation that describes how heat spreads through a rod, or how a drumhead vibrates. Wouldn't it be great if you could split it into simpler pieces and solve each one separately?