Teaching HSSC TGT 2023 Mock Test (Latest Pattern) Engineering Mathematics Complex Variables Analytic Functions
कॉची-रीमैन समीकरणों का ध्रुवीय रूप निम्न में से क्या है?
1
\(\dfrac{\partial u}{\partial r} = r \dfrac{\partial v}{\partial \theta} \ \text{and} \ \dfrac{\partial v}{\partial r}=-r \dfrac{\partial u}{\partial\theta }\)
2
\(\dfrac{\partial u}{\partial r} = \dfrac{1}{r} \dfrac{\partial v}{\partial \theta} \ \text{and} \ \dfrac{\partial v}{\partial r}=-\dfrac{1}{r} \dfrac{\partial u}{\partial\theta }\)
3
\(\dfrac{\partial u}{\partial r} = \dfrac{1}{r} \dfrac{\partial v}{\partial \theta} \ \text{and} \ \dfrac{\partial v}{\partial r}=-r \dfrac{\partial u}{\partial\theta }\)
4
\(\dfrac{\partial u}{\partial r} = r \dfrac{\partial v}{\partial \theta} \ \text{and} \ \dfrac{\partial v}{\partial r}=- \dfrac{1}{r} \dfrac{\partial u}{\partial\theta }\)
5
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