3. Let A denote the Laplace operator, viz., a²f8²f Af := + əx² əy² Here f = f(x, y). The second order PDE Af = 0, which is the same as a²f8²f + 0, əx² dy² is called the Laplace equation. Any solution f = f(x, y) of the Laplace equation is called a harmonic function. Show that the function ln(x² + y²), (x, y) = (0,0) is harmonic.

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