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The integrating factor of linear differe...

The integrating factor of linear differential equation` (dy)/(dx) + y sec x = tan x ` is

A

`sec x - tanx`

B

`secx. tanx`

C

`secx+tanx`

D

`secx. cotx`

Text Solution

Verified by Experts

The correct Answer is:
C
`(dy)/(dx)+y sec x = tanx`
Here P = sec x
`therefore" I.F"=e^(intPdx)`
`" "=e^(intsec xdx)`
`" "=e^(log(secx+tanx))`
`" "=secx+tanx`
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