Question

Question attached. Z is a complex variable, z=x+iy

Step 1

To verify the Laplace equation (harmonicity condition ) for the given function and to find its harmonic conjugate

Step 2

A real function V(x,y) is said to be harmonic if V satisfies the Laplace equation: (here subscripts denote partial derivatives)

V_{xx}+V_{yy}=0

Step 3

Let us verify that the given fun...

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