Question: The function z = f (x, y) is said to satisfy Laplaces equation if z xx + z yy = 0. Functions that satisfy such

The function z = f (x, y) is said to satisfy Laplace’s equation if zxx + zyy = 0. Functions that satisfy such an equation play an important role in a variety of applications in the physical sciences, especially in the theory of electricity and magnetism. In Exercises 73 through 76, determine whether the given function satisfies Laplace’s equation.

z = x2 − y2

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