How to take off icloud music on my iphone?

When i got the iOS7 update it put several songs that I haven't had in my music in years because of icloud. How can I take all these songs out of library? I've checked my itunes library on my laptop and the songs aren't even there so I'm clueless as to how I can delete these songs.

I was having this problem too. I was searching for a solution here then figured it out lile a couple minutes later lol. You have to go into Settings and then Music and there's a switch that says "Show all music". Just flick that off and it should be fine.