Cooke scored the winner with less than two minutes left in the game when he deflected Gonchar's slap shot through Ray Emery's five-hole. Gonchar scored on a slap shot with 5:27 left in first period.
Jeff Carter scored on a power-play for Philadelphia 5:18 into the game, giving the Flyers the first goal scored in 15 of their past 16 games, including 14 in the first period.
Skating behind the crease, Carter scooped the puck out of the netting and flicked a shot off the back of Brent Johnson's right leg.
Johnson made 27 saves, while Emery had 20.
