Differential Equations Question 239
Question: Integrating factor of differential equation $ \cos x\frac{dy}{dx}+y\sin x=1 $ is
[MP PET 1996]
Options:
A) $ \cos x $
B) $ \tan x $
C) $ \sec x $
D) $ \sin x $
Show Answer
Answer:
Correct Answer: C
Solution:
$ \frac{dy}{dx}+y\tan x=\sec x $
I.F. $ ={e^{\int _{{}}^{{}}{\tan xdx}}}={e^{\log \sec x}}=\sec x $
BETA
