The doctor would be unlikely to give you anti suppresants, more likely to refer you to an eating disorder clinic, you need to learn to eat food normally again, bulimia is a nasty vicious cycle that will only make you ill, rotting your teeth, making your hair fall out and giving you bowel problems to say the least, not to mention the strain on your organs.
I know someone who suffered with bulimia for 10 years and now wears a colostomy bag so I dont think the end product is worth it. when you stop starving yourself you will stop binging, if you want to maintain a healthy weight you need to eat healthy foods that give your body nutrients, take regular exercise (not necessarily in the gym, just get more active)
If you start eating heathily the end product will be bright eyes, more energy, feel great, look great , great skin. I know which I prefer!