Question

If sin x is an integrating factor of the differential equation $\frac{dy}{dx}$ + Py = Q , then P can be –

• A. log sin x
• B. cot x
• C. sin x
• D. log cos x

Answer 1

Answer: (B)

cot x

Answer 2

We have , I. F. = sin x Ž $e^{\int_{}^{}{P\mspace{6mu} dx}}$ = sin x Ž $\int_{}^{}{Pdx}$= log sin x Ž P = $\frac{d}{dx}$ (log sin x) = cot x.

Hence (2) is the correct answer