" In the differential equation show that it is homogeneous and solve it: "(x-y)(dy)/(dx)=x+3y" ."

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

Show that the given differential equation is homogeneous and solve it: y' = (x+y)/x

Show that each of the following differential equations is homogeneous and solve each of them : (x-y)dy=(x+2y)dx .

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

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

Show that each of the following differential equations is homogeneous and solve each of them : (dy)/(dx)= y/x + x/y .

Show that each of the following differential equations is homogeneous and solve each of them : x^(2)(dy)/(dx)=y(x+y)

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

Show that each of the following differential equations is homogeneous and solve each of them : (dy)/(dx)=(x^(2)y)/(x^(3)+y^(3))