What was found
DURING CLIMB TURN ON ANTI-ICE ON & SUPPLY BLEED LEAK R MESSAGE ILLUM, RAN CHKLIST & MESSAGE EXTINGUISH FOR A MIN & CAME BACK ON WITH WINDSHIELD HEAT INOP. R MESSAGE ENG CNTRL FAULT. R MESS ILLUM . RAN CHKLSTST. ENG FLAMED OUT CROSSING FL 390. RED OIL PRESS RT ANNUNCIATOR RELATED TO ENG FLAME OUT . RAN INFLT ENG SHUTDOWN CHKLIST QRC & SINGLE ENGINE INOP APPROAC QRC, & ENG INOP LANDING QRC CHKLST. ENG OIL REPLACEMENT REQUIRED PRIOR TO ENGINE RUN. REMOVED ENG OIL FILTER & REPLACED WITH NEW IAW EMM MM 79-20-01. ENG EEC R & R, EEC INSTALLED TO RT ENG EEC. ENG OIL FILTER REPLACED AFTER ENGINE RUNS. NO DEFECTS. OIL SERVICED IAW EMM 73-20-02, 77-40-01, &71-00-00.