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NDA 2011
Exam
NDA
Year
2011
Subject
Mathematics
Chapter
Differential Equations

NDA 2011 · Mathematics · Differential Equations

What is the equation of the curve passing through the point (0,...

What is the equation of the curve passing through the point (0,π3)\left(0, \frac{\pi}{3}\right) satisfying the differential equation sin⁡xcos⁡ydx+cos⁡xsin⁡ydy=0\sin x\cos y d x+\cos x \sin y d y=0 ?

Options

  1. Acos⁡xcos⁡y=32\cos x \cos y=\frac{\sqrt{3}}{2}
  2. Bsin⁡xsin⁡y=32\sin x \sin y=\frac{\sqrt{3}}{2}
  3. Csin⁡xsin⁡y=12\sin x \sin y=\frac{1}{2}
  4. Dcos⁡xcos⁡y=12\cos x \cos y=\frac{1}{2}

Correct answer

D. cos⁡xcos⁡y=12\cos x \cos y=\frac{1}{2}

Step-by-step solution

The correct answer is option D
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