Basically I was with her for 2 months when she broke up for no apparent reason, saying she wants to be on her own, but when I ask her do you still think about me she answers yes, but when ask her would you ever take me back she answers I don't know, what does all that means?

It means its over, and honestly the relationship was not really long or strong anyway. 2 months is not any amount of time to really be with someone.

Its over, and never expect her to come back to you because she won't.

It means you don't overanalyze what she says but move on with your life and leave her to live hers.

It means she doesn't want to hurt your feelings anymore but it is over. Start to move on with your own life, 2 months is hardly enough time to call it a relationship, you were in the getting to know them better/honeymoon period and it still failed. She wants her independence, can't fault her for that

It means she no longer wants a relationship with you, and would rather be single.

She wants to be on her own, is a good reason for a break up!