engineering recuitment GATE ME 2023-24 Test Series Engineering Mathematics Complex Variables Analytic Functions
The conjugate harmonic function v(x, y) of u(x, y) = In (x2 + y2) is
1
\(2{\tan ^{ - 1}}\left( {\frac{x}{y}} \right) + C\)
2
\(2{\tan ^{ - 1}}\left( {\frac{y}{x}} \right) + C\)
3
\({\tan ^{ - 1}}\left( {\frac{x}{y}} \right) + C\)
4
\({\tan ^{ - 1}}\left( {\frac{y}{x}} \right) + C\)