How do I patch these sections of concrete driveway meeting the house?
You could simply add new concrete to it.
There are a few things you need to do:


Clean all dirt and dust from the patch hole.
Use a bonding agent to help new and old concrete bond together
otherwise the new patch just "floats" (you brush this on the old concrete but can also add it to the cement mix as per the product directions to help prevent cracking)
Mix and pour the cement.
Once cured, Seal the edges of the patch


Bonding agent: 



Concrete crack sealer: