What was found
ON CLIMB OUT APPROX 2000 FEET AND 180 KTS TWO LOUD BANGS WERE HEARD FOLLOWED BY THE RIGHT ENGINE FAILURE. -REMOVED RH CORE ENGINE DUE TO AN INFLIGHT SHUTDOWN. INSTALLED A REPAIRED REPLACEMENT ENGINE. PERFORMED ALL REQUIRED PAST INSTALLATION ENGINE RUNS/LEAK CHECKS WITH NO DEFECTS NOTED. ALL MAINTENANCE PERFORMED IAW AMM 71-00-00 & EMM 71-00-00. REMOVED RT ENGINE HYD PUMP & INSTALLED A REPAIRED HYDRAULIC PUMP. IAW AMM 29-12-01 PERFORMED LEAK CHECK OF RT HYD PUMP POST PRESSURE LINE & FITTING REPLACEMENT WITH NO DISCREPANCIES NOTED. IAW AMM 29-12-01. APPROVED FOR RETURN TO SERVICE.