What was found
FLT 721 JFK-BNA, AIR RETURN TO JFK, CREW DECLARED EMERGENCY DUE TO ENGINE 2 EXCEEDED EGT LIMIT DURING CLIMB. ESTIMATED 630 DEG C FOR LESS THAN 1 MINUTE. AIRCRAFT WAS LEVELED WITH NO FURTHER EXCEEDANCE. HOWEVER EGT REMAINED ABOUT 100 DEG C HIGHER THAN NR 1 ENGINE. T/S PER TSM 73-00-00-810-818 AND FOUND STAGE 10 HPC SOLENOID HOUSING LOOSE AND SEPARATING. COIL FOUND OPEN INSIDE OF SOLENOID. REMOVED AND REPLACED SOLENOID IAW 75-32-53-04. PERFORMED HIGH POWER RUN UP IAW AMM 71-00-00-05 SYSTEM WITHIN LIMITS.