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f(z) = u(x,y) + i v(x,y) is an analytic function of complex variable z = x + iy where i = . If u(x,y) = 2 xy, then v(x,y) may be expressed as 
  • a)
    -x2 + y2 + constant
  • b)
    x2 - y2 + constant
  • c)
    x2 + y2 + constant
  • d)
    - (x2 + y2) + constant
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
f(z) = u(x,y) + i v(x,y) is an analytic function of complex variable z...
Given u =2xy, v = ?
The Cauchy-Riemann equation
ux = vy & vx = – uy are satisfying with option (a) –x2+ y2 + constant
V(x,y) = –x2 + y+ constant
 
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f(z) = u(x,y) + i v(x,y) is an analytic function of complex variable z = x + iy where i = . Ifu(x,y) = 2 xy, then v(x,y) may be expressed asa)-x2 + y2 + constantb)x2-y2 + constantc)x2 + y2 + constantd)- (x2 + y2) + constantCorrect answer is option 'A'. Can you explain this answer?
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f(z) = u(x,y) + i v(x,y) is an analytic function of complex variable z = x + iy where i = . Ifu(x,y) = 2 xy, then v(x,y) may be expressed asa)-x2 + y2 + constantb)x2-y2 + constantc)x2 + y2 + constantd)- (x2 + y2) + constantCorrect answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about f(z) = u(x,y) + i v(x,y) is an analytic function of complex variable z = x + iy where i = . Ifu(x,y) = 2 xy, then v(x,y) may be expressed asa)-x2 + y2 + constantb)x2-y2 + constantc)x2 + y2 + constantd)- (x2 + y2) + constantCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for f(z) = u(x,y) + i v(x,y) is an analytic function of complex variable z = x + iy where i = . Ifu(x,y) = 2 xy, then v(x,y) may be expressed asa)-x2 + y2 + constantb)x2-y2 + constantc)x2 + y2 + constantd)- (x2 + y2) + constantCorrect answer is option 'A'. Can you explain this answer?.
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