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- What does it mean for the differentiability of a function if the Cauchy-Reimann equations (Ux = Vy and Vx = -Uy) do not hold?Verify whether the function f(z) = e^x (cos y + isin y) satisfies Cauchy-Riemann equations or not.Consider z = z (x, y) Find (∂z / ∂x )and (∂z / ∂y )by implicit derivation and confirm that the result obtained
- What does it mean for the differentiability of a function if only one of the Cauchy-Reimann equations (Ux = Vy and Vx = -Uy) holds?Explain why the two forms of Green’s Theorem are analogs of theFundamental Theorem of Calculus.Define stpes to obtain the general solution of a 2nd order homogeneous ODE with real coincident roots?