Question
जैकोबी विधि से समीकरण
का पूर्ण समाकल ज्ञात कीजिए।
Answer :
Word Count : 358
जैकोबी विधि (Jacobi's Method) का उपयोग करके दिए गए समीकरण का पूर्ण समाकल (complete integral) ज्ञात करने के लिए, हमें निम्नलिखित चरणों का पालन करना होगा: ### दिया गया समीकरण: \[ 2u_1 xz + 3u_2 y^2 + u_2^2 u_3 = 0 \] ### चरण 1: समीकरण को जैकोबी के रूप में लिखें जैकोबी विधि के अनुसार, समीकरण को निम्नलिखित रूप में लिखा जा सकता है: \[ F(x, y, z, u_1, u_2, u_3) = 0 \] जहाँ \( u_1 = \frac{\partial u}{\partial x} \), \( u_2 = \frac{\partial u}{\partial y} ___ ________ _________ _______ ___ ____ __________ ____.
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जैकोबी विधि (Jacobi's Method) का उपयोग करके दिए गए समीकरण का पूर्ण समाकल (complete integral) ज्ञात करने के लिए, हमें निम्नलिखित चरणों का पालन करना होगा: ### दिया गया समीकरण: \[ 2u_1 xz + 3u_2 y^2 + u_2^2 u_3 = 0 \] ### चरण 1: समीकरण को जैकोबी के रूप में लिखें जैकोबी विधि के अनुसार, समीकरण को निम्नलिखित रूप में लिखा जा सकता है: \[ F(x, y, z, u_1, u_2, u_3) = 0 \] जहाँ \( u_1 = \frac{\partial u}{\partial x} \), \( u_2 = \frac{\partial u}{\partial y} ___ ________ _________ _______ ___ ____ __________ ____.
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