Given u=y³ – 3x²y is harmonic, find harmonic conjugate

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A: Given that U=y3-3x2y is harmonic function We know that,  dv=∂v∂xdx+∂v∂ydy Integrating on both…

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A: NOTE: According to Bartleby's guidelines we can only do one question at a time. Please upload 2nd…

Q: Given u=y3 – 3x²y is harmonic, find harmonic conjugate v | – 3xy² +x² +c – 3x²y² +x³ + c - 3.xy2 –…

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Q: 4. Check whether u(x, y) = y³ – 3x²y is harmonic or not. If u(x, y) is harmonic, then find its…

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Q: Given u=y³ – 3x²y is harmonic, find harmonic conjugate - 3x?y² +x³ +c - 3.xy² +x3 +c - 3xy2 –x³ +c -…

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Q: (a) Suppose u(x, y) = 2x – x + 3xy? is harmonic, then find its conjugate harmonic v(x, y). -

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A: The detailed solution is given below Thank you

Q: Given u=y3 – 3x²y is harmonic, find harmonic conjugate v - 3.xy² +x³ +c - 3.xy? +x? +c - 3xy? –x3 +c…

A: See solution below. We used property of CR equation and total derivative.

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Q: (a) Suppose u(x, y) = y³ – 3.x²y is harmonic, then find its conjugate harmonic v(x, y). %3D

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