Poisson's Equation is a fundamental equation in mathematical physics that relates the distribution of a quantity, such as electric potential or gravitational potential, to the sources of that quantity. It is expressed as ∇²φ = -ρ/ε, where φ represents the potential, ρ is the source density, and ε is a constant related to the medium. This equation helps in understanding how fields behave in space due to the presence of charges or masses. The equation is widely used in various fields, including electrostatics, fluid dynamics, and heat conduction. By solving Poisson's Equation, scientists and engineers can predict how potentials change in response to different configurations of sources, making it a crucial tool in both theoretical and applied physics.