Differential Equations Question 320
Question: The solution of the differential equation $ \frac{dy}{dx}=\sec x(\sec x+\tan x) $ is
Options:
A) $ y=\sec x+\tan x+c $
B) $ y=\sec x+\cot x+c $
C) $ y=\sec x-\tan x+c $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ \frac{dy}{dx}=\sec x(\sec x+\tan x) $
Therefore $ \frac{dy}{dx}={{\sec }^{2}}x+\sec x\tan x $
Now integrating both sides, we get $ y=\tan x+\sec x+c $ .
BETA
