At 41 weeks, if you so desire, it’s possible to induce labor, even without medical indication. You’re only truly overdue after 42 weeks of pregnancy. A gynecologist will start treating you. If nothing indicates birth will commence soon, it’s very possible labor will be induced. During your exams with the gynecologist, induction will be discussed with you. If your labor is induced, you will have to give birth at the hospital.
If the cervix has not ripened at all, a Foley catheter balloon (which is inserted in the cervix and is inflated) or prostaglandin gel will be used to induce labor. If the cervix has ripened a bit more it has dilated (between 2-3 cm), labor can be induced by intentionally breaking your water. After that you can get an IV drip with medication that stimulates contractions. It can still take a while before you deliver the baby. The course of an induction varies greatly in duration. If your cervix is unripe during the internal exam, induction can take several days. If labor is induced by breaking your water, the baby if often born within 24 hours.