`x(dy)/(dx) = y-x cos^(2) (y/x)`

(x + y (dy) / (dx)) / (yx (dy) / (dx)) = (x cos ^ (2) (x ^ (2) + y ^ (2))) / (y ^ ( 3))

The solution of differential equation (x+y(dy)/(dx))/(y-x(dy)/(dx)) = x(cos^(2)(x^(2)+y^(2))/(y^(3))) is

x(dy)/(dx)=y-cos((1)/(x))

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

(dy)/(dx)=cos(x+y)

(dy)/(dx)=cos(x-y)

Show that the differential equation x cos((y)/(x))(dy)/(dx)=y cos((y)/(x))+x is homogeneous and solve it.

The solution of (x^(2)dy)/(dx)-xy=1+cos((y)/(x)) is