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Math Help - find constants so that f(z) is analytic

  1. #1
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    find constants so that f(z) is analytic

    f(z)=  x^2 + axy + by^2 + i(cx^2 + dxy +y^2)

    i got  u_x=2x+ay
     v_y=2y+dx
     u_y=2by+ax
     v_x=2cx+dy

    so a=d=2 and  b=c=-1

    is this all i need to put? seems too easy
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  2. #2
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    That's correct. Math is so easy!
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