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))`

AI Generated Solution

Similar Questions

Explore conceptually related problems

The solution of the differential equation x^(2)(dy)/(dx)cos((1)/(x))-y sin((1)/(x))=-1, where y rarr-1 as x rarr oo is

solution of differential equation x cos x(dy)/(dx)+y(x sin x+cos x)=1 is

The solution of the differential equation (dy)/(dx) = (x(2 log x+1))/(sin y +y cos y) is

Solution of differential equation sin y*(dy)/(dx)+(1)/(x)cos y=x^(4)cos^(2)y is

Solution of differential equation sin y*(dy)/(dx)=(1)/(x)cos y=x^(4)cos^(2)y is

Solution of the differentiable equation ((x+y-1)/(x+y-2))(dy)/(dx)=((x+y+1)/(x+y+2)) when y=1, is

Find the solution of the differential equation {y(1+(1)/(x))+sin y}dx+(x+ln x+x cos y)dy=0