Do you get more Experience on higher difficulties?

Solution 1:

I don't see anything to indicate that level XP is impacted by difficulty (in total, it seems to be capped at 69,000 for an entire playthrough), but the XP gained from picking up spare medi-gel is. The following table indicates the experience per excess medi-gel gained at each difficulty:

Difficulty | Experience
-----------+-----------
Narrative  |         25
Casual     |         25
Normal     |         50
Hardcore   |        100
Insanity   |        150

Solution 2:

Well you do more damage total due to increased enemy health, so yes, yes you do.

EDIT: No, that would not apply to single player.