5- Verify that the given function u is harmonic in an appropriate domain D. Find v(x, y), the harmonic conjugate of u. Form the corresponding analytic function f(z) = u + iv: (ii) u(x, y) = x³ – 3xy2 %3D

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A: Given,  The e-system are,             2x1+3x2+s1 = 544x1+3x2+s2 = 72 Definition :-  A basic solution...

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A: please post multiple questions separately

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Q: 1. 5у" + y' 3 -6х, у (0) %3D 0, у'(0) — —10 ||

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Q: Find the particular solution corresponding to the tableau. y 1 16 16 4 -5 -5 1 1 -1 10 4 24 12 12 1 ...

A: We find the particular solution corresponding to the given tableau. 

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