The Laplacian of a function (0,7) is given by: 1 84 0 + 7 00 Show...

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The Laplacian of a function (0,7) is given by: 1 ¹8²4 0² + 7² 00² Show that if a function 7² + 8²4 87² (5) f(2)= u(a, r) + iv(o, T) (6) is analytic, then both u(a,7), and v(a, 7) are harmonic functions, i.e. satisfies the Laplace equation. The Laplacian of a function (0,7) is given by: 1 ¹8²4 0² + 7² 00² Show that if a function 7² + 8²4 87² (5) f(2)= u(a, r) + iv(o, T) (6) is analytic, then both u(a,7), and v(a, 7) are harmonic functions, i.e. satisfies the Laplace equation.

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Given a function f2U 6 7 iv 07 is analytic To Show U 0 2 and 107 ... View the full answer