Trying to delete music from iPhone?

I have two songs that won't delete from my iPhone, and when I plug it in and open iTunes on my laptop, it doesn't show any songs on my phone so there's no option to delete them. How do I go about deleting them under these circumstances? What else can I do?

Normally, you can uncheck the songs on iTunes library, and then sync iPhone with iTunes, the songs will be deleted from iPhone. If this way not worked, you can use a 3rd party software like this iTunes alternative, it can help you delete music from iPhone easily. It worked pretty well for my iPhone 5s.