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

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

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

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

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

Show that the differential equation x(dy)/(dx)=y-x tan(y/x) is homogenous and solve it.

Show that the differential equation x^(2)(dy)/(dx)=(x^(2)-2y^(2)+xy) is homogenous and solve it.

Solve the differential equation x(dy)/(dx)=y-xtan((y)/(x)) is homogenous and solve it.

Show that the differential equation 2x^(2)(dy)/(dx)-2xy+y^(0)=0 is homogeneous and solve it.