Show that the differential equation representing one parameter family of curves `(x^2-y^2)=c(x^2+y^2)^2i s\ (x^3-3x y^2)dx=(y^3-3x^2y)dy`

Show that the differential equation representing one parameter family of curves (x^(2)-y^(2))=c(x^(2)+y^(2))^(2)is(x^(3)-3xy^(2))dx=(y^(3)-3x^(2)y)dy

Find the differential equation representing one parametr family of the curves (x^(2)-y^(2))=c(x^(2)+y^(2))

Show that the differential equation (x-y)(dy)/(dx)=x+2y

The differential equation representing the family of curves y^(2)=2c(x+c^(2//3)) , where c is a positive parameter, is of

The differential equation representing the family of curves y^(2)=2c(x+sqrt(c)) ,where c is a positive parameter is of

The differential equation representing the family of curves y^(2) = 2c (x +c^(2//3)) , where c is a positive parameter , is of

Form the differential equation of the family of curves represented c(y+c)^(2)=x^(3), where is a parameter.