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

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

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

If y(4)=-2 ,then the solution of differential equation (dy)/(dx)=(y(x+y^(3)))/(x(y^(3)-x)) is

The curve satisfying the equation (dy)/(dx)=(y(x+y^3))/(x(y^3-x)) and passing through the point (4,-2) is

The curve satisfying the equation (dy)/(dx)=(y(x+y^3))/(x(y^3-x)) and passing through the point (4,-2) is

The curve satisfying the equation (dy)/(dx)=(y(x+y^3))/(x(y^3-x)) and passing through the point (4,-2) is

The curve satisfying the equation (dy)/(dx)=(y(x+y^(3)))/(x(y^(3)-x)) and passing through the point (4,-2) is