hun, I went 11 days over with DD and was induced and then with DS we were trying for a VBAC and he was 14 days over. It was a long wait. Those 14 days seemed to drag longer than the rest of the pregnancy but I kept telling myself that.....babies know when to come out..... No woman has ever been pregnant forever... I was allowing DS to choose his own birthday. All those mantras helped!
As for "needing" to be induced I would be asking exactly why especially if it is at 9-10 days over, as hard as it is waiting you don't want to risk all the complications that inevitably come with unnecessary intervention. Good luck hun - just focus on the fact that this baby is going to be in your life forever and waiting patiently (with a touch of impatience ) will make it all worthwhile as you will be holding your bubby soon! xoxoxox