Question
अवकल समीकरण :
का हल प्राप्त कीजिए।
Answer :
Word Count : 422
अवकल समीकरण को हल करने के लिए, हम निम्नलिखित चरणों का पालन करेंगे: \[ \frac{dy}{dx} = -\frac{2x + y + 1}{4x + 2y - 1} \] ### चरण 1: समीकरण को सरल करें समीकरण को सरल करने के लिए, हम एक नए चर का परिचय देते हैं। मान लें: \[ z = 2x + y \] इसलिए, \[ \frac{dz}{dx} = 2 + \frac{dy}{dx} \] ### चरण 2: समीकरण को नए चर में बदलें समीकरण में \( y \) को \( z \) के रूप _______ _________ _________ _____ ____ _________ ______.
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अवकल समीकरण को हल करने के लिए, हम निम्नलिखित चरणों का पालन करेंगे: \[ \frac{dy}{dx} = -\frac{2x + y + 1}{4x + 2y - 1} \] ### चरण 1: समीकरण को सरल करें समीकरण को सरल करने के लिए, हम एक नए चर का परिचय देते हैं। मान लें: \[ z = 2x + y \] इसलिए, \[ \frac{dz}{dx} = 2 + \frac{dy}{dx} \] ### चरण 2: समीकरण को नए चर में बदलें समीकरण में \( y \) को \( z \) के रूप _______ _________ _________ _____ ____ _________ ______.
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