ED-E My Love

 is a quest in Fallout: New Vegas.

Quick walkthrough
After talking to Johnson Nash about ED-E, this quest will be given to the Courier. After heading to the Gibson scrap yard once ED-E is a companion, ED-E will begin playing a recording made by Whitley, an Enclave researcher at Adams Air Force Base. He is sending ED-E, a special prototype for a combat Eyebot, to Navarro for further upgrades.

Detailed walkthrough
Get ED-E in Primm in the shop on the right hand side after walking into Primm from the broken bridge and moving straight ahead until you see a dead courier, the courier is propped up against the shop.

To fix the robot you need either a high science, a high repair, or you can fix it with spare parts (you need 1 scrap techs, 3 scrap metals, and 2 sensor modules).

Once he's repaired, head to Gibson Scrap Yard and talk to old lady gibson. Follow through all dialogue with gibson and it triggers a response from ED-E.

Another response is triggered after talking to Doctor Hildern at Camp McCarran.