AP EAMCET · Maths · Differential Equations
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
- A \(y=\log _e(\operatorname{cosec} x-1)\)
- B \(y=\log _e(\operatorname{cosec} x+1)\)
- C \(x=\log _e(y+1)\)
- D \(x=\log _e(y-1)\)
Answer & Solution
Correct Answer
(A) \(y=\log _e(\operatorname{cosec} x-1)\)
Step-by-step Solution
Detailed explanation
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