Question

The Cauchy-Riemann equations in Cartesian forms are
a) u.=vy, V=Uy
b) u,=- Vy, Vx=uy
c) Ux=- Vy, VX=-uy
d) Ux=Vy, Vx=-uy​

Answer 1

Answer:

option d is the correct answer

Answer 2

The Cauchy-Riemann equations in Cartesian forms are c) Ux=- Vy, VX=-uy

• The cartesian form represents a point, a line, or a plane in a two-dimensional or a three-dimensional plane.
• The cartesian form is represented with respect to the two-dimensional cartesian system or three-dimensional cartesian system.
• Cauchy-Riemann equations are the equations relating the partial derivatives of the real and imaginary parts of an analytic function of a complex variable.
• f(z) = u(x,y) + iv(x,y) by δu/δx = δv/δy and δu/δy = −δv/δx.
• The cartesian Cauchy Riemann equations imply the equations.

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