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

The curve satisfying the differential equation,ydx-(x+3y^(2))dy=0 and passingthrough the point (1,1), also passes through the point.

Let a curve satisfying the differential equation y^(2)dx=(x-(1)/(y))dy=0 which passes through (1,1) if the curve also passes through (k,2) then value of k is

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 (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 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 x^(2)dy=(2-y)dx and passing through P(1, 4) is

If the curve satisfying differential equation xdy=(y+x^(3))dx passes through (1, 1), then the equation to the curve is