Questions about induction at 38 weeks?

It depends a lot on how ripe your cervix is and if you are dilated already. If you are far enough, labour could be induced just by breaking your water. I was induced with my first baby with the Pitocin drip due to the fact that my water broke and I didn't go into labour. I was almost 38 weeks and 2 cm dilated when they started the drip, and it took 3 hours for me to start having contractions and another 7 hours of labour. It should probably not take as long since it's your 3rd. Good luck, hopefully you can just end up going into labour naturally before your appointment :)