Solved: 8083. Laplaces equation A classical equation of
Chapter 12, Problem 81(choose chapter or problem)
8083. Laplaces equation A classical equation of mathematics is Laplaces equation, which arises in both theory and applications. It governs ideal fluid flow, electrostatic potentials, and the steadystate distribution of heat in a conducting medium. In two dimensions, Laplaces equation is 02u 0x2 + 02u 0y2 = 0. Show that the following functions are harmonic; that is, they satisfy Laplaces equation. u1x, y2 = x1x2 - 3y22
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