I found it easier to play the song with a capo so here are the chords with capo, below 
find the tab without a capo, written by someone else

Capo 4

C                   Em
You try so hard to be cold
C                   Em
You try so hard to not show
Dm                                       G
I give you nothing to doubt, and you doubt me
Dm                                  G
I give you all that I have, but you don't see
Am
Now I know that my eyes must close here
C                   Em
Every word seems to feel like you don't care
Bb
But I know that you're so confused and afraid
Dm
I just want to be one true thing that don't fade
F
I don't wanna give up tomorrow
C
I just can't understand why we're going on

Guitar Part : C ? F ? Dm ? F ?Fm -Mi

You try so hard to be heard
You try so hard to not hurt
I give you nothing to doubt, and you doubt me
I give you all that I have, but you don't see

Now I know that my eyes must close here
Every word seems to feel like you don't care
But I know that you're so confused and afraid
I just want to be one true thing that don't fade
I don't wanna give up tomorrow
I just can't understand why we're going on

Then the Guitar Part : E ? A ? F#m ? A ?Am -Mi ad libitum

I don't wanna be sad, I don't wanna be scared
I won't wait for you in silence
I see the road is long


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Owl Chords by Black Rebel Motorcycle Club, www.Ultimate-Guitar.Com

Author: Black Rebel Motorcycle Club
Title : Owl
This is my first tab , I hope you enjoy it!


E                   Abm
You try so hard to be cold
E                   Abm
You try so hard to not show
F#m                                       B
I give you nothing to doubt, and you doubt me
F#m                                  B
I give you all that I have, but you don't see
C#m
Now I know that my eyes must close here
E                   Abm
Every word seems to feel like you don't care
D
But I know that you're so confused and afraid
F#m
I just want to be one true thing that don't fade
A
I don't wanna give up tomorrow
E
I just can't understand why we're going on

Guitar Part : E ? A ? F#m ? A ?Am -Mi

You try so hard to be heard
You try so hard to not hurt
I give you nothing to doubt, and you doubt me
I give you all that I have, but you don't see

Now I know that my eyes must close here
Every word seems to feel like you don't care
But I know that you're so confused and afraid
I just want to be one true thing that don't fade
I don't wanna give up tomorrow
I just can't understand why we're going on

Then the Guitar Part : E ? A ? F#m ? A ?Am -Mi ad libitum

I don't wanna be sad, I don't wanna be scared
I won't wait for you in silence
I see the road is long