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Is this true?

All the classical equations satisfy a maximum principle

No — it is false.

The counterexample

This one comes with the Notes pack.

See pricing

85 counterexamples are free — including most of the ones Part C leans on hardest.

The kind of mistake this is

Existence vs uniqueness

A theorem giving one was read as giving both.

Drill statements like this
PDE

Others that fail the same way

From Partial Differential Equations › Laplace, heat and wave equations: separation of variables

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