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If sinx is an integrating factor of the ...

If `sinx` is an integrating factor of the differential equation `(dy)/(dx)+P y=Q` , then write the value of `Pdot`

A

`log sin x`

B

`cot x`

C

`sinx`

D

`log cos x`

Text Solution

Verified by Experts

The correct Answer is:
B
We have,
I.F. = sin x
`rArr" "e^(intPdx)=sinx`
`rArr" "intPdx=logsinxrArrP=(d)/(dx)(logsinx)=cotx`
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