This one's pretty distorted so it was kind of tough to hear, but I'm pretty sure this is it.
If it sucks let me know cause this is my first tab.

KEY:
. = palm mute
/ = slide
h = hammer on

E |----------------------------------|---------------------------------|
B |----------------------------------|---------------------------------|
G |----------------------------------|---------------------------------|
D |----------------------------------|---------------------------------|
A |---------5/6-5------8/6-5-----5/6-|---------5/6-5-------3h5-----1h3-|
D |-000-000------0-000-------000-----|-000-000-------0-000-----000-----|
    ... ...      . ...       ...       ... ...       . ...     ...

E |-----------------------------------|---------------------------------|
B |-----------------------------------|---------------------------------|
G |-----------------------------------|---------------------------------|
D |-----------------------------------|-----------------3-5---8-7---2-0-|
A |---------5/6-5-------8/6-5-----5/6-|-----5/3-----3/1-3-5---8-7---2-0-|
D |-000-000-------0-000-------000-----|-000-----000-----3-5-0-8-7-0-2-0-|
    ... ...       . ...       ...       ...     ...         .     .