i am trying to delete my library but when i re open the app they are back there

Hello dreamer3097,

Let's start off by checking the helpful steps in this article linked to your posting which can help with this issue: Delete music in the Apple Music app. Follow this guidance:

"Delete music on your iPhone, iPad, iPod touch, or Android device

1. Open the Apple Music app.
2. Go to Library and tap Downloaded to see your downloads. On your iPad, tap Downloaded in the sidebar.
3. Find the song, album, or music video that you want to remove.
4. Touch and hold the item, then tap Remove.
5. Tap Remove Download to remove the item from only this device. Or tap Delete from Library to delete the item across all of your devices.

If you use Family Sharing and don't want other family members to see your purchases, you can hide them. Learn how to hide an item.

You can also delete music in the Settings app. Go to Settings > General > iPhone Storage or iPad Storage. Scroll to Music and tap it. Swipe left on All Songs or on the item that you want to delete, then tap Delete."

Let us know if we can help with anything else at all or if this doesn't settle your issue so we can look into this further with you. Thanks and have a fabulous day!