The equation of the curve passing through $\left(\frac{\pi}{6}, 0\right)$ and satisfying the differential…

The equation of the curve passing through $\left(\frac{\pi}{6}, 0\right)$ and satisfying the differential equation $\left(e^y+1\right) \cos x d x+e^y \sin x d y=0$, is
  1. $y=\log _e(\operatorname{cosec} x-1)$
  2. $y=\log _e(\operatorname{cosec} x+1)$
  3. $x=\log _e(y+1)$
  4. $x=\log _e(y-1)$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (25 Apr Shift 1)

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