`x-x^(2)y+xy^(2)-y`

The factors of x^(3)-x^(2)y-xy^(2)+y^(3) are (a (x+y)(x^(2)-xy+y^(2))(b)(x+y)(x^(2)+xy+y^(2))(c)(x+y)^(2)(x-y)(d)(x-y)^(2)(x+y)

Differentiate w.r.t x x^(3) + x^(2)y+ xy^(2) + y^(3) = 81

x^(3) + x^(2)y+ xy^(2) + y^(3) = 81

If x^(3) +x^(2) y +xy^(2) +y^(3) =81,then (dy)/(dx) =

Add : x^(3) - x^(2)y + 5xy^(2) + y^(3) , -x^(3) - 9xy^(2) + y^(3), 3x^(2)y + 9xy^(2)

Solution of the differential equation x^(2)y dy+(x^(3)+x^(2)y-2xy^(2)-y^(3))dx=0 is

The equation x^(3)+x^(2)y-xy^(2)-y^(3)=0 represents three straight lines passing through the origin such that