The equation of a curve passing through the origin and satisfying the differential equation `(dy)/(dx)=(x-y)^(2)`, is

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

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

The equation of the curve through the origin and satifying the differential equation (dy)/(dx) = (x-y)^(2) is

Find the equation of a curve passing through the origin and satisfying the differential equation (1+x^2)(dy)/(dx)+2xy=4x^2

The equation of the curve passing through origin and satisfying the differential equation dy/dx = sin(10x) is

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

The equation of the curve passing through the point (1,1) and satisfying the differential equation (dy)/(dx) = (x+2y-3)/(y-2x+1) is