You can get rid of a dry cough or any cough by taking a clove of garlic and boiling the clove of garlic with some milk and then add a pinch of turmeric to the garlic and milk.
You can also use Ginger instead of Garlic and this drink works for getting rid of dry coughs, coughs and even soothes sore throats.
Taking a steamy hot shower or sitting in the bathroom with the shower running just hot water to steam up the bathroom can also clear up and stop a dry cough as well as a plain old cough.
Be sure to drink plenty of water to stay hydrated and take some lozenges such as Halls Cough Drops and keep your bedroom or room you're staying in moisturized by using a humidifier or vaporizer.