Differential Equations Question 325
Question: The solution of differential equation $ \frac{dy}{dx}+{{\sin }^{2}}y=0 $ is
[MP PET 1994]
Options:
A) $ y+2\cos y=c $
B) $ y-2\sin y=c $
C) $ x=\cot y+c $
D) $ y=\cot x+c $
Show Answer
Answer:
Correct Answer: C
Solution:
$ \frac{dy}{dx}+{{\sin }^{2}}y=0 $
Therefore $ -\frac{dy}{{{\sin }^{2}}y}=dx $ .
On integrating, we get $ x=\cot y+c $ .
BETA
