Whats the difference between 抛弃，放弃，舍弃, 丢弃？ I know they all mean to give up, or abandon but what would be the different meanings and context these words are used in?
I think 抛弃 and 丢弃 sometimes can substitute each other, and they are used for something that you dont want anymore.

抛弃 might have the sense that you abandon something but you might not be supposed to do so.
For example, a husband 抛弃 his wife because his wife has some diseases.

For 舍弃, it is used for something that you don't want to abandon but you have to.

For example, when you pack up your stuff to move to a new place, but your luggage is too heavy. So in order to lighten the burden, you may have to 舍弃 something that is not so important to you.

For 放弃, I think it is more used for giving up an abstract concept, such as your dream, your plan, your goal, etc, but not a physical object.