Q: I have an Early 2011 MacBook Pro from Early 2011 that is a 13-inch model... why won't it support airplay? why can't I get a software update to allow it to work?

About AirPlay and Airplay Mirroring

AirPlay Mirroring requires a second-generation Apple TV or later, and is supported on the following Mac models: iMac (Mid 2011 or newer), Mac mini (Mid 2011 or newer), MacBook Air (Mid 2011 or newer), and MacBook Pro (Early 2011 or newer). For non-qualifying Macs you can try using Air Parrot.

Several Apple Articles Regarding AirPlay

Apple TV (2nd and 3rd gen)- How to use AirPlay Mirroring

How to set up and configure AirPort Express for AirPlay and iTunes

About AirPlay Mirroring in OS X Mountain Lion

iTunes 10- About playing music with AirPlay

Troubleshooting AirPlay and AirPlay Mirroring

Using AirPlay

Thanks to the $15 Beamer, AirPlay streaming is still possible on Macs  that do not support Airplay and mirroring.

Another solution is the Air Parrot.

My friend i have a Macbook pro 13"(MID2012)  and i'm having problem to access airplay  by using a Apple Tv3.

How can i resolve this issue ?  I guess,  should have AirPlay on my mac.

airplay or airplay mirror

if the later then only these support it!

http://support.apple.com/kb/ht5404

otherwise one have to buy the program called airparrot