The equation of the curve satisfying the equation x(1-x y) d y d x +y=0 and passing…
Mathematics · JEE Advanced · NTA Exams — Differential Equations
The equation of the curve satisfying the equation \(x(1-x \ln y) \frac{d y}{d x}+y=0\) and passing through \(\left(1, \frac{1}{\mathrm{e}}\right)\) is
- x (ey + lny +1) = 1
- (ey + lnx + 1) = 1
- y (ex + lny + 1) = 0
- None of these
Answer
(A) x (ey + l ny +1) = 1
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