I can't speak for self injury but for eating disorders I found that for anorexia it's not so much a coping thing. Your whole perception is off, no matter how thin you get you always see yourself as fat, food is the enemy and so is anyone who wants to make you eat, compulsively exercising all the time, counting every single calorie of everything you do eat and calculating the exercise needed to burn it off, weighing yourself all day every day. It takes over your life, and most of the time you don't even notice, it's normal to you because your biggest fear is gaining weight. I speak from my own experiences of course, not everyone is effected the same way, and compared to others I've met mine was only moderately bad. Although I am healthy in that respect now I will always have to make a conscious decision not to relapse.