I've been suffering from bulimia for the past 2 years. I am currently a first year at college. I know I've wasted the last two years of my life, so I've already confessed to my parents right before coming to college, which was the hardest thing I've ever had to do in my entire life so far (except getting over bulimia of course, because I haven't gotten over it yet!). I'm proud of myself for having the courage to finally confess to them, and they tell me they want to do whatever is needed to help me get through this, but at the same time, I know they see me as weak because I can't get over this illness. My mom keeps telling me, and I agree with her, that even though I KNOW what is more important (love, family, friendship, myself, and my life vs. bulimia) in my life, I can't find the self control to stop b/p. I've gotten a lot better since I've come to college- but my determination lasts a few days and I always slip for a day or two, and this cycle keeps repeating. My friends in college are very supportive, and it makes me cry whenever they tell me that mental illness is just as "REAL" as physical illness, that seeing a psychiatrist or taking medications is NOT weak. But I am currently not doing any of those- I still feel alone even after confessing to my parents- because my parents want me to cure this with my own willpower and I've been trying and trying and I just see no hope. I can't find the courage to tell them, again, that I need more serious help... they'll think I'm incapable of curing this disease because I am weak, and they will withdraw me from college life, which I love so much, so that I can stay home and see a doctor, and so they can keep an eye on me. I don't know what to tell them, I don't want to lie to them again and say that I am fine, that I am cured, because I know I need help. I'm stuck and I feel helpless

I get so proud of myself for being b/p free for 4 days, then I fall back again. What should I do?
Thanks for listening, it means the world to me, because my family, whom I love the most, don't understand how I feel and what I'm going through.