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JEE Math Practice Question

If $$x{{dy} \over {dx}} = y\left( {\log y - \log x + 1} \right),$$ then the solution of the equation is :

  1. A.$$y\log \left( {{x \over y}} \right) = cx$$
  2. B.$$x\log \left( {{y \over x}} \right) = cy$$
  3. C.$$\log \left( {{y \over x}} \right) = cx$$
  4. D.$$\log \left( {{x \over y}} \right) = cy$$

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