A) \[y\sqrt{\cot x}=\tan x+C\]
B) \[y\sqrt{\cot x}=x+C\]
C) \[y\sqrt{\tan x}=\cot x+C\]
D) \[y\sqrt{\tan x}=x+C\][Note: C denotes constant of integration]
Correct Answer: B
Solution :
\[\frac{dy}{dx}+\left( \frac{-1}{\sin 2x} \right)y=\sqrt{\tan x}\] (Linear differential equation) \[\therefore \] General solution is, \[y\sqrt{\cot \,x}=x+C\]You need to login to perform this action.
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