The curve having differential equation, `xcosy(dy)/(dx)+siny=x` and passing through the origin, also passes through

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

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

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 differential equation of the family of lines passing through the origin 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