Question: function f that satisfies the partial differential equation fxx + fyy = 0 ( steady state wave equation, also known as Laplace s Equation )
function f that satisfies the partial differential equation fxx fyy steady state wave
equation, also known as Laplaces Equation is called a harmonic function. Suppose u and v
have continuous secondorder partial derivatives, ux vy and uy vx Show that u and v are
harmonic functions.
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