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

Find the equation of the curve passing through origin and satisfying the differential equation 2xdy = (2x^(2) + x) dx .