Differential Equations Question 184
Question: Solution of differential equation $ dy-sinxsinydx=0 $ is
Options:
A) $ {e^{\cos x}}\tan \frac{y}{2}=c $
B) $ {e^{\cos x}}\tan y=c $
C) $ \cos x\tan y=c $
D) $ \cos x\sin y=]c $
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ dy-\sin x\sin ydx=0 $ Or $ dy=\sin x\sin ydx $ Or $ \int{cosecydy=\int{\sin xdx}} $
Or $ \log \tan \frac{y}{2}=-\cos x+\log c $ Or $ \log \frac{\tan \frac{y}{2}}{c}=-\cos x $
Or $ \frac{\tan \frac{y}{2}}{c}={e^{-\cos x}} $ Or $ {e^{\cos x}}\tan \frac{y}{2}=c $
BETA
