> Consider the differential equation dy/dx= (y-y^2)/x for all x not equal to zero.?

Consider the differential equation dy/dx= (y-y^2)/x for all x not equal to zero.?

Posted at: 2014-06-09 
a) Verify that y= (x/x+c), (x can't equal -C and C can't equal 0) is a general solution for the given differential equation and show that all solutions contain (0,0) b) Write an equation of the particular solution that contains the point (1,2), and find the value of dy/dx at (0,0) for this solution c) Write an equation of the vertical and horizontal asymptotes of the particular solution found in (b) Please please help even with just part of it if you could!!