In the Green Day song "Holiday", the phrase "class of 13" is used in a similar way to refer to a generation of people who feel like they've been forgotten by society. The lyrics of the song suggest that this generation is struggling to find their place in the world, and that they're feeling lost and alone.
Overall, the phrase "class of 13" in Green Day songs is used to represent a generation of people who feel like they've been let down by society and are struggling to find their way.