Most of the ingredients are basically the same as laundry detergent with the addition of salt and citric acid (aka lemonade)
Homemade Dish Detergent:
1/2 cup washing soda
1/2 cup Borax
1/4 cup Salt
1/4 cup Citric Acid
Add all ingredients to a container. Shake container. Use 1 tablespoon per load. Enjoy!
I need to work on perfecting the perfect balance of ingredients as we have hard water, and it leaves a bit of firm on some of the dishes. Other than that, I have noticed this mixture does not do a very good job of removing caked-on food, but I have found that pre-washing my dishes, or soaking them overnight takes care of this problem.