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Exact Solutions > Linear Partial Differential Equations > Second-Order Elliptic Partial Differential Equations

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3. Linear Elliptic Equations

  1. Δw = 0.    Laplace equation.
  2. Δw + Φ(x) = 0.    Poisson equation.
  3. Δw + λw = −Φ(x).    Helmholtz equation.

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