question_answer

If\[x\frac{dy}{dx}=y(\log \text{ }y-\log \text{ }x+1),\]then the solution of the equation is     AIEEE  Solved  Paper-2005

A) \[\log \left( \frac{x}{y} \right)=Cy\]

B) \[\log \left( \frac{y}{x} \right)=Cx\]

C) \[x\log \left( \frac{y}{x} \right)=Cy\]

D) \[y\log \left( \frac{x}{y} \right)=Cx\]

Correct Answer: B

Solution :

  Now, put