"I've been watching videos, trying to get to the net a little bit more," Konecny said. "Good shot by Sanheim. He got their forward lost for a second and made a good shot to the net."
The Flyers said the goal helped them get going on offense.
"When we got the first goal from Konecny, we got the momentum there and we started going a little harder," said forward Oskar Lindblom, who got his first NHL point with an assist on Philadelphia's second goal. "After that second goal, it felt like we had our game."
Slavin put Carolina up 2-1 when he skated from the blue line through the left circle to beat Lyon high to the short side at 10:04.
Jakub Voracek tied it 2-2 at 11:58 after moving from his forehand to his backhand to pull Hurricanes goalie Cam Ward (23 saves) out of position.
Filppula made it 3-2 when he took a stretch pass from Wayne Simmonds and beat Ward on the forehand at 14:11. Slavin pinched along the left boards before Simmonds found Filppula.
"We're trying to score the game-winner, right?" Hurricanes coach Bill Peters said. "The intentions are right. The result isn't what you want. So it's an unfortunate situation. You just stick with it and do your own job and trust that the other four are going to do their job when they're out there, then everything will be fine."