Explicit
Means to clearly and openly state a position, or to be given at face value. The author explicit writing does not expect the reader to have to put the pieces together. All is literal information (as stated). There is little if any hidden meaning.
example
Freedom in the US is something that should be earned and appreciated. All too often youngsters upon reaching young adulthood take this precious American value for granted. They should learn to value it, and what better way than to have a policy of mandatory military service mandated for all teens upon their eighteenth birthday. All those turning eighteen would have to serve a mandatory six month military tour of duty. No exceptions are permitted. It could be domestic service repairing or cleaning roads or actively defending this country in battle. This would teach responsibility and a respect for the freedoms we all enjoy.
discussion
The above piece clearly states the author's position. There is no question, no hidden thoughts,
* no sarcasm, (sharp, biting, taunting remarks)
* no irony (the opposite of what is really meant or should occur)
* It is literal (word for word)
* it is simply stated, and we get meaning from the stated words.

Implied (Implicit)
Means providing meaning through suggestion and use of literary devises. It employs all of the elements that explicit does not. A reader must read between the lines and try to figure out what the author really means.
example
When the tardy student beguilingly sashayed into the class that had begun several minutes earlier, all eyes quite naturally went to see her enter the room. Because of her delightfully torn and jelly stained wrinkled  jeans, she was a vision of loveliness. How could we all just not love this untimely interruption in the all important semester review for our final exam. And when she immediately began to giggle and chat with those trying to pay attention to the professor, it was just so entertaining. Because my nostrils were so full of the thick smell of roses and lilacs that here copious perfume emanated, I could hardly breath. Wasn't she a treat?  I could feel my heart pounding out of my chest! We Med students in this very important final review are just so lucky to have such a person grace our lives, and I am forever grateful that she decided to take this class.
discussion
This piece is very different than the one above. The author's constant use of irony and sarcasm drip with contempt for this late student. Although he states how lucky he is, he really means that he is not lucky at all, and through the use of irony and sarcasm suggests that this person is inconsiderate, vane, and disrupting a very important class. He is not the least bit happy with her, although his words say the opposite.