The foci of the curve which satisfies the equation `(1+y^(2))dx - xy dy = 0` and passes through the point (1, 0) are

The curve satisfying the equation (x^(2)-y^(2))dx+2xydy=0 and passing through the point (1,1) is

The equation of the curve satisfying the eqution (xy-x^(2)) (dy)/(dx) = y^(2) and passing through the point (-1,1) is

The equation of the curve satisfying the eqution (xy-x^(2)) (dy)/(dx) = y^(2) and passing through the point (-1,1) is

The equation of the curve satisfying the differential equation y(x+y^3)dx=x(y^3-x)dy and passing through the point (1,1) is

The equation of the curve satisfying the equation ( 1 + y^2) dx + ( x-e^(-tan^(-1)y))dy=0 and passing through origin is