Show that the given differential equation is homogeneous and solve each of them.`x(dy)/(dx)-y+xsin(y/x)=0`

Show that the given differential equation is homogeneous and solve each of them.y'=(x+y)/(x)

Show that the given differential equation is homogeneous and solve each of them.x(dy)/(dx)-y+x sin((y)/(x))=0

Show that the given differential equation is homogeneous and solve each of them.(xy)dy(x+y)dx=0

Show that the given differential equation is homogeneous and solve each of them. (x-y)dy-(x+y)dx=0

Show that the given differential equation is homogeneous and solve each of them. x^2(dy)/(dx)=x^2-2y^2+x y

Show that the given differential equation is homogeneous and solve each of them. yprime=(x+y)/x

Show that the given differential equation is homogeneous and solve each of them.x^(2)(dy)/(dx)=x^(2)-2y^(2)+xy

Show that the given differential equation is homogeneous and solve each of them. ydx+xlog((y)/(x))dy-2xdy=0

Show that the given differential equation is homogeneous and solve each of them. x^(2)(dy)/(dx)=x^(2)-2y^(2)+xy

Show that the given differential equation is homogeneous and solve it: x((dy)/(dx)) - y + xsin(y/x) = 0