As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
FULL PWR TAKEOFF RIGHT AFTER LIFTOFF SMOKE FILLED THE ENTIRE AFT CABIN C ZONE AND SET OFF THE LAV SMOKE DETECTORS. NO SOURCE COULD BE IDENTIFIED. LAVS AND GALLEYS WERE CHECKED, SMOKE APPEARED TO BE UNIFORM THROUGHOUT THE CABIN IN C ZONE. REPLACED NR 2 ENGINE.