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f(z) = u(x, y) + iv(x, y) is an analytic function of complex variable z = x + iy. If v = xy then u(x, y) equals
  • a)
    x2 + y2
  • b)
    x2 – y2
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
f(z) = u(x, y) + iv(x, y) is an analytic function of complex variable ...
Concept:
if f(z) = u(x, y) + iv(x, y) is an analytic function then Cauchy-Riemann condition will be satisfied.

Calculation:
Given:
v = xy​

du = xdx - ydy
Integrating both sides
∫du = ∫ (x)dx − ∫ ydy
u = 1/2(x2−y2)
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Most Upvoted Answer
f(z) = u(x, y) + iv(x, y) is an analytic function of complex variable ...
Concept:
if f(z) = u(x, y) + iv(x, y) is an analytic function then Cauchy-Riemann condition will be satisfied.

Calculation:
Given:
v = xy​

du = xdx - ydy
Integrating both sides
∫du = ∫ (x)dx − ∫ ydy
u = 1/2(x2−y2)
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f(z) = u(x, y) + iv(x, y) is an analytic function of complex variable z = x + iy. If v = xy then u(x, y) equalsa)x2 + y2b)x2 – y2c)d)Correct answer is option 'D'. Can you explain this answer?
Question Description
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