Question

The solution of the differential equation \( \frac{dy}{dx}+y\log y\cot x=0 \) is

• A. \( \cos x\log y=c \)
• B. \( \log y=c\sin x \)
• C. \( \sin x\log y=c \)
• D. \( y\sin x=c \)

Hint:

For separable differential equations, keep all \(y\)-terms with \(dy\) and all \(x\)-terms with \(dx\), then integrate both sides.

Answer 1

The Correct Option is C