Duclair made it 5-0 at 15:42 of the second period on a tap-in at the left post off a backdoor pass from Steven Stamkos.
"Great speed by ‘Stammer’ there to win the puck battle, the puck was in the corner," Duclair said. "I just wanted to get to the net. I've seen him enough times making those backdoor plays. I didn't have to do much -- just put my stick on the ice and what a great pass."
Cooper said that Duclair is a blessed skater.
"He came as advertised," Cooper said. "When he's playing he can really add a dimension to our top six. And then he showed you his hands, especially on his goal. Not everyone can score that goal. It was a great pass by Stammer, and someone has to tuck that in and he did."
Hedman made it 6-0 at 7:33 of the third period, and Brandon Hagel scored a power-play goal at 8:16 for the 7-0 final.
"We came out with great energy,” Hedman said. “Duke and Dumba came in bringing a ton of energy and enthusiasm to the group. I think it's a sigh of relief for everyone with the (NHL) Trade Deadline (on Friday) behind you. This is our group now and we just want to move forward. One gear ahead and that's full steam."
Defenseman Erik Johnson made his Flyers debut after being acquired in a trade with the Buffalo Sabres on Thursday. He was minus-1 with six hits and two shots on goal in 19:57.
Forward Denis Gurianov, acquired by the Flyers in a trade with the Nashville Predators on Thursday, had three shot attempts in 13:22 in his Philadelphia debut.
NOTES: Lightning defenseman Erik Cernak left the game late in the second period with an apparent lower-body injury. He was helped to the dressing room without putting any weight on his right leg. Cooper had no update. ... Tampa Bay scored in the opening two minutes of a game for the ninth time, tied with the Dallas Stars and Edmonton Oilers for most in the NHL. ... It was Vasilevskiy's second shutout of the season and 34th of his NHL career. ... Sheary scored for a second consecutive game after having no goals in his previous 35. ... Kucherov extended his point streak to eight games (13 points; two goals, 11 assists). ... Stamkos had his 300th multipoint NHL game. … Paul set an NHL career high with his 18th goal; he scored 17 last season. … Hathaway had a game-high eight hits. ... Philadelphia defenseman Egor Zamula (illness) was a late scratch, and the Flyers suited up only five defensemen.