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Mathematics · JEE | DIFFERENTIAL EQUATIONS
हिन्दीThe general solution of the differential equation \( \frac{y\,dx - x\,dy}{y} = 0 \) is:
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Correct answer · Option D
\( y = Cx \)
Explanation
Dividing by \( y \) and rearranging gives \( \frac{dx}{x} - \frac{dy}{y} = 0 \). Integrating both sides yields \( \ln|x| - \ln|y| = \ln C \), which simplifies to \( y = Cx \).
