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Failure of uniqueness can also be seen in the following example of a Clairaut's equation:
A first-order partial differential equation is also known as Clairaut's equation or Clairaut equation:
By 1735, however, du Châtelet had turned for her mathematical training to Alexis Clairaut, a mathematical prodigy known best for Clairaut's equation and Clairaut's theorem.
Wörterbuch für Mathematik