How can I relieve my dry mouth problem?

Artificial saliva . Drink lots of water if you still have dry mouth (usually side effects of many drugs) you can use artificial saliva products like biotin.
Find the cause. Dry mouth can be caused by many different things. Smoking or tobacco use, medicines, mouth breathing, snoring, surgery, and certain diseases (diabetes, autoimmune conditions, stroke). Talk with your doctor to uncover the underlying cause. Also make sure you are staying hydrated by drinking 8-10 glasses of water daily (unless you have a medical condition that requires volume restriction).
A few options. Sugarless gum helps a lot. Some medications cause dry mouth, so read the labels or ask your pharmacist. Sugarless mints or candy (especially sour) can also stimulate more saliva production.