Differential Equations Question 278
Question: Integrating factor of the differential equation $ \frac{dy}{dx}+y\tan x-\sec x=0 $ is
[MP PET 2002]
Options:
A) $ {e^{\sin x}} $
B) $ \frac{1}{\sin x} $
C) $ \frac{1}{\cos x} $
D) $ {e^{\cos x}} $
Show Answer
Answer:
Correct Answer: C
Solution:
$ \frac{dy}{dx}+y\tan x=\sec x $ , where $ p=\tan x,\ \ Q=\sec x $
This is the linear differential equation in y, hence I.F. $ ={e^{\int _{{}}^{{}}{pdx}}}={e^{\int _{{}}^{{}}{\tan xdx}}} $ ; I.F. $ ={e^{\log \sec x}}=\sec x $ .
BETA
