I think the answer of broccoli forest is perfectly correct.
I'll tell you the difference between the two words based on the 漢字{かんじ}kanjis used in 固有{こゆう}koyuu and 特有{とくゆう}tokuyuu.
固有 = 固 + 有, and 特有 = 特 + 有
- 有 means 存在{そんざい}する or 保有{ほゆう}する which means "to exist" or "to have/possess".
- 固 has many meanings, but in this case it means 元{もと}より motoyori which means "from the beginning/start".
- 特 means そのものだけ特別{とうべつ}/特殊{とくしゅ} which means "to be special only for it/the thing".
As a whole, 固有 means 元{もと}より存在{そんざい}する or 元{もと}より保有{ほゆう}する or "existing/having from the beginning", which means "inherent", on the other hand, 特有{とくゆう} means そのものだけに特別{とくべつ}に存在{そんざい}する or "existing/having only for it", which means "characteristic".