CUET · MATHS · PYQ PAPER 2023
The solution of the differential equation \((\cot y) d x=x d y\) is:
- A \(x=C \cos y\)
- B \(x=C \sec y\)
- C \(y=C \cos x\)
- D \(y=C \sec x\)
Answer & Solution
Correct Answer
(B) \(x=C \sec y\)
Step-by-step Solution
Detailed explanation
\(\frac{d x}{x} = \frac{d y}{\cot y}\) \(\int \frac{d x}{x} = \int \tan y \, d y\) \(\ln |x| = \ln |\sec y| + \ln C'\) \(\ln |x| = \ln (C' |\sec y|)\) \(x = C \sec y\)
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