What was found
HYD 2 HI TEMP, FOLLOWED BY HYD 2 OVERHEAT. QRH PROCEDURES WERE COMPLIED WITH. HYD 2 OVERHEAT REMAINED FOR REST OF FLIGHT. DECIDED TO DIVERT. EMERGENCY DECLARED PERFORMED HYD SYS 2 EXTERNAL LEAK CHECK AND CHECKED DIFFERENTIAL PRESSURE INDICATORS OF HYD 2 FILTER MANIFOLD AND CASE DRAIN PER AMM 29-10-00-790-801-A, 29-11-05-200-801-A AND 29-11-07-200-801-A. NO LEAKS NOTED, NO DPS POPPED. OPENED UP ENG 2 COWLINGS PER AMM 78-30-01-910-801-A/-802-A AND CHECKED FOR LEAKS OR DAMAGE AROUND HYD 2 EDP, NO LEAKS OR DISCREPANCIES NOTED. PERFORMED ENG RUNS WITH FLT CREW FOR 30 MIN IN ATTEMPT TO REPLICATE HI TEMP ISSUE, HYD SYS 2 TEMPERATURE CONSISTENLY APPROX 58 C, NO DISCREPANCIES NOTED. SEE EAML 116802074 FOR FURTHER DETAILS AND CORRECTIVE ACTION