Poisson's equation is a partial differential equation of the form $$ abla^2 ho = f$$, where $$ abla^2$$ is the Laplacian operator, $$ ho$$ is the potential function, and $$f$$ represents a source term. This equation is fundamental in mathematical physics, especially in the study of electrostatics and gravitational fields, linking the distribution of matter to the potential created by that matter.
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