What was found
*AIR TURN BACK* *IN FLIGHT SHUTDOWN* *EMERGENCY DECLARED* LOGBOOK ITEM - G38901 ITEM 1 - AFTER TAKEOFF RECEVED A LEVEL 1 ENG 2 A-ICE DURING CLIMB WHILE RUNNING THAT CHECK LIST . WE RECEVED A LEVEL 3 ENG 2 A-ICE DUCT. SHUT DOWN #2 ENG PER CHECK LIST. VERIFIED STEP 1 UPON TROUBLESHOOTING, FOUND #2 ENGINE ANTIICE VALVE IN THE LOCKED POSITION. RETURNED #2 ENG A/I VALVE TO THE CORRECT CONFIGURATION AND ACCOMPLISHED A SATISFACTORY FUNCTIONAL TEST OF THE #2 ENGINE A/I SYSTEM (WITHOUT ENGINES RUNNING) IN REF TO MD11 AMM 30-22-00-700-803. #2 ENGINE A/I VALVE RETURNED TO NORMAL OPERATIONAL POSITION. FUNCTIONAL TEST OF #2 ENGINE NOSE COWL ANTI-ICE SYSTEM DURING ENGINE OPERATION TEST GOOD . NO FAULTS NOTED PER MD11 AMM 30-22-00-700-805. VERIFIED STEP 8 IS C/W OPS TEST GOOD NO FAULTS. REVIEWED.