If x d y d x =y (log y – log x + 1), then the solution of the equation is

Mathematics · JEE Main · NTA Exams — Differential Equations

1. \(\log \left(\frac{\mathrm{x}}{\mathrm{y}}\right)=\mathrm{cy}\)
2. \(\log \left(\frac{\mathrm{y}}{\mathrm{x}}\right)=\mathrm{cx}\)
3. \(x \log \left(\frac{y}{x}\right)=c y\)
4. \(y \log \left(\frac{x}{y}\right)=c x\)

Answer

(B) ( y x )= cx

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