google is your friend
As an aside I've always hated the medicine insists on these silly differentials at the beginning. Seriously who makes a differential before knowing all of the information? "Abdominal pain . . . GO!" It's effing asinine, my history and exam are done before I ever think of anything resembling a "differential".
I agree with the above posters, after you get the chief complaint and have asked the patient why they have come to the ER etc . . . you should then ask more focused questions with a differential in mind, remember 80% of diagnosis are made from the history (I think even before the physical although maybe that includes the physical, most of the time the physical examination reveals what is expected although there are exceptions.)
For example, a patient has a chief complaint of "abdominal pain" that is sharp, 7/10, comes and goes every 30 minutes over the past day, has had pain like this before in the past. There are some very very specific questions you have to ask based on what it might be, such as, if the patient has coughed up any blood? Does food make the pain worse or is there a relation to food intake? Has the patient been able to keep down fluids, or food? If the patient starts then talking about throwing up bright red blood then he/she might have an ulcer which is actively bleeding and may need to be scoped. Any changes in their diet? Etc . . . What were the piror episodes of pain like? etc . . . Usually after the first 5 minutes I have a guess as to the top 3 diagnosis and what I think will need to be done, chief residents are even faster.
The physical exam is important, and often times critical, but in my experience rarely alters management, i.e. maybe 1-2 times out of ten does physical examination change anything. If somebody says abdominal pain as a chief complaint to me I immediately associate this with biliary colic, an ulcer, pancreatitis, appendicitis, constipation, mesenteric ischemia, colitis, etc . . . things fly through my head faster than I could ever type them. So, yes, in an elderly patient with a PMHx of atherosclerotic disease if the patient has abdominal pain after eating out of porportion to exam I would think about this after the first two sentences of the Chief Complaint and ask more questions to see if this could be cause.
In the end the physical examination should confirm you diagnostic impression and if it does not then maybe you need to ask different questions. Also, your physical examination should be focused on the organ systems of complaint, but also be guided by your differential, if you suspected appendicitis in a patient then you have to do some different examination techniques then if you are looking at someone who has coughed up bright red blood with abdominal pain. Same thing with CTs and imaging studies they should confirm your impression, if they don't then you need to reasses.
If someone says right lower quadrant pain in a teenage female then you should be able to come up with 7 possible DDx in 30 seconds to a minute. It is impossible to not do this and just do a PE with a thorough abdominal exam and THEN think up the DDx, invariably you will then have to go back to the patient and ask more questions and maybe even do the exam again.