Word Count : 320

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दिया गया अवकल समीकरण है: $$ \frac{dy}{dx} = -\frac{2x + y + 1}{4x + 2y - 1} $$ सबसे पहले हम इसे थोड़ा सरल बनाने के लिए बदलते हैं। ध्यान दें कि हर जगह "2x + y" और "4x + 2y" दिखाई दे रहे हैं। इसे आसान बनाने के लिए substitution करें: $$ v = 2x + y \implies \frac{dv}{dx} = 2 + \frac{dy}{dx} ____ ____ _______ ___ __________ ______ __________ ________ __________ ________ _____.
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