Question

 हल कीजिए : equation.

09 Jan 2026
Answer :
Word Count : 265
दी गई अवकल समीकरण है: [ (1 - \sin x \tan y),dx + (\cos x \sec^2 y),dy = 0 ] इसे इस रूप में लिखा जा सकता है: [ M(x,y),dx + N(x,y),dy = 0, \quad \text{जहाँ } M = 1 - \sin x \tan y, ; N = \cos x \sec^2 y ] जाँचें कि यह संपूर्ण (exact) समीकरण है या नहीं: [ \frac{\partial M}{\partial y} = -\sin x \cdot \frac{d}{dy}(\tan y) = -\sin
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