Question
हल कीजिए :
Answer :
Word Count : 238
दिए गए समीकरण को हल करना है: \[ x^2 \frac{dy}{dx} = \cos x - 2xy, \quad y(\pi) = 0, \quad x > 0. \] ### चरण 1: समीकरण को पहचानना यह एक रैखिक विभेदक समीकरण है, जिसे मानक रूप में लिखा जा सकता है: \[ \frac{dy}{dx} + P(x)y = Q(x) \] जहाँ, \[ P(x) = \frac{2x}{x^2} = \frac{2}{x}, \quad _____ _________ _____ _______ ________ ________ __________ __________ ____.
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दिए गए समीकरण को हल करना है: \[ x^2 \frac{dy}{dx} = \cos x - 2xy, \quad y(\pi) = 0, \quad x > 0. \] ### चरण 1: समीकरण को पहचानना यह एक रैखिक विभेदक समीकरण है, जिसे मानक रूप में लिखा जा सकता है: \[ \frac{dy}{dx} + P(x)y = Q(x) \] जहाँ, \[ P(x) = \frac{2x}{x^2} = \frac{2}{x}, \quad _____ _________ _____ _______ ________ ________ __________ __________ ____.
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