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Question: Answered & Verified by Expert
Let $\mathrm{y}=\frac{1}{1+\mathrm{x}+\ln \mathrm{x}}$, Then
MathematicsDifferential EquationsWBJEEWBJEE 2020
Options:
  • A $x \frac{d y}{d x}+y=x$
  • B $x \frac{d y}{d x}=y(y \ln x-1)$
  • C $x^{2} \frac{d y}{d x}=y^{2}+1-x^{2}$
  • D $x\left(\frac{d y}{d x}\right)^{2}=y-x$
Solution:
1368 Upvotes Verified Answer
The correct answer is: $x \frac{d y}{d x}=y(y \ln x-1)$
Hint:
$x \frac{d y}{d x}=y(y \ln x-1)$

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