1st Chord = x 5 7 6 x x 
2nd Chord = x 5 7 9 x x 

Can anyone help me, it's just they sound cool.. and i want to know what type of chord they are, i think the first is a 7th and the second is a 9th?
I assume it's low E string on the left, high E string on the right?

If so...

D A C# = Dmaj7 (no3)
D A E = Dsus2
Looking for my India/Django.
As an aside, I could rightly call the first chord Asus4. But the voicing definitely reflects a full major7 chord.
Looking for my India/Django.