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John D. Cook
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Laplace's equation is the fundamental example of a PDE.

If I could broaden the question to allow a triumvirate of examples, I'd say Laplace's equation, the heat equation, and the wave equation asare the canonical examples of PDEs, representing elliptic, parabolic, and hyperbolic equations respectively.

Laplace's equation is the fundamental example of a PDE.

If I could broaden the question to allow a triumvirate of examples, I'd say Laplace's equation, the heat equation, and the wave equation as the canonical examples of PDEs, representing elliptic, parabolic, and hyperbolic equations respectively.

Laplace's equation is the fundamental example of a PDE.

If I could broaden the question to allow a triumvirate of examples, I'd say Laplace's equation, the heat equation, and the wave equation are the canonical examples of PDEs, representing elliptic, parabolic, and hyperbolic equations respectively.

Source Link
John D. Cook
  • 5.3k
  • 1
  • 49
  • 73

Laplace's equation is the fundamental example of a PDE.

If I could broaden the question to allow a triumvirate of examples, I'd say Laplace's equation, the heat equation, and the wave equation as the canonical examples of PDEs, representing elliptic, parabolic, and hyperbolic equations respectively.