To what extent do you think Odysseus does things entirely in his own way? 
In the Odyssey, Odysseus is headstrong and is very clever in problematic situations. Odysseus does do things entirely in his own way; there are moments where divine help was needed.
Odysseus is cunning and is stubborn once he has his mind set on something. An example of this is when Odysseus, alone, thought up of a rescue plan when he and his crew were trapped in Polyphemus’, the cyclops, cave. Due to his hubris, needing to be recognised for his action to gain kleos, Odysseus brags and taunts the cyclops, disregarding the wishes of his crew who don’t want to remain in the cave and plead him not to anger the cyclops further which did not dissuade him. This was a chance for him to be remembered as the one who tricked the cyclops.