Mathematics | MHT CET 2016 | Discussion Page

If sin x is the integrating factor (IF) of the linear differential equation $\frac{dy}{dx}+Py$ =Q, then P is

A) log sin x

B) cos x

C) tan x

D) cot x

Option D

We know that IF of $\frac{dy}{dx}+Py$ =Q is

$IF=e^{\int pdx }$

$\sin x= e^{\int pdx }$

On differentiating both sides , we get

$\cos x=e^{\int pdx }P$

cos x= sin x P

$\Rightarrow$ P= cot x

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