Give in and Give up do not mean the same as generally understood by many.

Give in means to accept one’s defeat in a competition or battle.
Don’t give in without even trying. It’s a game and anyone can win.

Give up means to lose your hope and feel despair.
Don’t give up on life, all your worries will soon end.

Give up also means to quit something you have been doing for long( to desist from)
Why don’t you give up drinking so much?

Here are a few more examples:
* Never give in to your opponent before you actually get defeated.
* Why are you giving up so easily? Stand up and face the world.
* Give up smoking before it kills you.