A) \[\frac{4}{3}\]
B) \[\frac{1}{3}\]
C) \[-\frac{2}{3}\]
D) \[-\frac{1}{3}\]
Correct Answer: B
Solution :
\[(2+\sin x)\frac{dy}{dx}+(y+1)\cos x=0\] \[\frac{d}{dx}(2+\sin x)(y+1)=0\] \[x=0,y=1\Rightarrow c=4\] \[y+1=\frac{4}{2+\sin x}\] \[y\left( \frac{\pi }{2} \right)=\frac{4}{3}-1=\frac{1}{3}\]You need to login to perform this action.
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