The Cauchy Riemann equations for f(z) = u(x, y) + iv(x, y) to be analytic are:

• A. \(\frac{{\partial u}}{{\partial x}} = \frac{{\partial v}}{{\partial y}},\frac{{\partial u}}{{\partial y}} = \frac{{\partial v}}{{\partial x}}\)
• B. \(\frac{{\partial u}}{{\partial x}} = \frac{{\partial v}}{{\partial y}},\frac{{\partial u}}{{\partial y}} = -\frac{{\partial v}}{{\partial x}}\)
• C. \(\frac{{\partial u}}{{\partial x}} = - \frac{{\partial v}}{{\partial y}},\frac{{\partial u}}{{\partial y}} - = \frac{{\partial v}}{{\partial x}}\)
• D. \(\frac{{{\partial ^2}u}}{{\partial {x^2}}} + \frac{{{\partial ^2}u}}{{\partial {y^2}}} = 0,\frac{{{\partial ^2}v}}{{\partial {x^2}}} + \frac{{{\partial ^2}v}}{{\partial {y^2}}} = 0\)