Difference between elucidate and explicate
Solution 1:
The Oxford Dictionary Online defines elucidate as
Make (something) clear; explain: work such as theirs will help to elucidate this matter
The etymology is reported as
mid 16th century: from late Latin elucidat- 'made clear', from the verb elucidare, from e- (variant of ex-) 'out' + lucidus 'lucid'.
Tracing lucid back, we get
late 16th century (sense 2): from Latin lucidus (perhaps via French lucide or Italian lucido), from lucere 'shine', from lux, luc- 'light'.
Basically, it means shed light on.
ODO defines explicate as
Analyze and develop (an idea or principle) in detail: attempting to explicate the relationship between crime and economic forces
The origin is reported to be
mid 16th century: from Latin explicat- 'unfolded', from the verb explicare, from ex- 'out' + plicare 'to fold'.
The sense it to unpack or unfold a complex concept or relationship.
While there is a great deal of overlap, and either might fit many circumstances, there are subtle connotatve differences. Elucidate might be a better choice when some information, perhaps only a single fact, reveals the nature of the situation. Explicate would seem better suited when a process of unraveling a complex situation is necessary to get to the truth or to understanding.
Were I to tell someone I hate my brother, I could elucidate by saying He beat me up every day when I was a boy.
Or I could explicate by tracing the 70 year history of complex business transactions, contested inheritances, joint ventures, competitive projects, political campaigns and the battle over a betrothed that slowly turned sibling camaraderie to contempt.
Solution 2:
"Elucidate" and "explicate" are both million-dollar words to describe the action of explaining something. To my ear, the former, with its "lucid" root, emphasizes clarity of result. The latter ("explain") emphasizes the process of getting there.
Here's a trick I often use when I want a deeper sense of how words have been used in literature: Go to http://corpus.byu.edu/coca/ and enter your word. The database of 450 million words will likely return enough examples to give a good sense of how literate folks have used it.