If sin x is the inetegrating factor of the linear differential equation $\frac{dy}{dx}+Py=Q$ then P is :
Answer & explanation
Correct answer: option 3
The correct answer is option (3) → $\cot x$
$I.F.=e^{∫P\,dx}=\sin x$
$∫P\,dx=\log\sin x$
differentiating eq. wrt (x)
$P=\frac{\cos x}{\sin x}=\cot x$