Differential Equations Question 338
Question: The solution of the differential equation $ x\sec y\frac{dy}{dx}=1 $ is
Options:
A) $ x\sec y\tan y=c $
B) $ cx=\sec y+\tan y $
C) $ cy=\sec x\tan x $
D) $ cy=\sec x+\tan x $
Show Answer
Answer:
Correct Answer: B
Solution:
$ x\sec y\frac{dy}{dx}=1 $
Therefore $ \sec ydy=\frac{dx}{x} $
On integrating both sides, we get $ \log (\sec y+\tan y)=\log x+\log c $
Therefore $ \sec y+\tan y=cx $ .
BETA
