A) \[(\pi ,\,-2/\pi )\]
B) \[(\pi /2,-2/\pi )\]
C) \[(-\pi /2,2/\pi )\]
D) None of these
Correct Answer: D
Solution :
[d] \[\frac{dy}{dx}=-\left( \frac{y+\sin x}{x} \right)\] \[\Rightarrow \,\,\,-x\,dy=ydx+\sin x\,dx\] \[\Rightarrow \,\,\,-\sin x\,dx=x\,\,dy+y\,\,dx\] \[\Rightarrow \,\,-\sin x\,dx=d(xy)\] \[\Rightarrow \,\,\cos x=xy+x\] (Integrating both sides) Since \[y(0)=1,\,\,c=1.\] \[\therefore \,\,\cos x=xy+1\]You need to login to perform this action.
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