The curve satisfying the differential equation `(dx)/(dy) = (x + 2yx^2)/(y-2x^3)` and passing through (1, 0) is given by

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

The equation of the curve satisfying the differential equation x^(2)dy=(2-y)dx and passing through P(1, 4) is

The equation of the curve satisfying the differential equation (dy)/(dx)+(y)/(x^(2))=(1)/(x^(2)) and passing through ((1)/(2),e^(2)+1) is

The equation of the curve satisfying the differential equation (dy)/(dx)+2(y)/(x^(2))=(2)/(x^(2)) and passing through ((1)/(2),e^(4)+1) is

If the curve satisfies the differential equation x.(dy)/(dx)=x^(2)+y-2 and passes through (1, 1), then is also passes through the point

A curve satisfies the differential equation (dy)/(dx)=(x+1-xy^(2))/(x^(2)y-y) and passes through (0,0)(1) The equation of the curve is x^(2)+y^(2)+2x=x^(2)y^(2)(2) The equation of the is a tangent to curve (4)y=0 is a tangent to curve

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