If sinx is the integrating facor (IF) of the linear differetnial equation ` (dy)/(dx)+Py =Q` , then P is

Options

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

Answer

d

Explanation

We know that , IF of `(dy)/(dx) + Py = Q` is
` IF = e^(int Pdx)`
` sin x = e^(int p dx)`
On differentiating both sides , we get
` cos x = e^(int pdx) P`
` cos x = sin P rArr P = cot x`