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  • https://math.libretexts.org/Bookshelves/Differential_Equations/Introduction_to_Partial_Differential_Equations_(Herman)/06%3A_Problems_in_Higher_Dimensions/6.05%3A_Laplaces_Equation_and_Spherical_Symmetry
    We have seen that Laplace's equation, ∇²u=0, arises in electrostatics as an equation for electric potential outside a charge distribution and it occurs as the equation governing equilibrium temperatu...We have seen that Laplace's equation, ∇²u=0, arises in electrostatics as an equation for electric potential outside a charge distribution and it occurs as the equation governing equilibrium temperature distributions. As we had seen in the last chapter, Laplace’s equation generally occurs in the study of potential theory, which also includes the study of gravitational and fluid potentials.

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