The solution of the differential equatio...

The solution of the differential equation `(x^2dy)/(dx)cos(1/x)-ysin(1/x)=-1,` where `y -> 1`as `x -> oo` is (A) `y=sin(1/x)+cos(1/x)` (B) `y=(x+1)/(xsin(1/x))` (C) `y=sin(1/x)-cos(1/x)` (D) `y=x/(xcos(1/x))`

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