Martin Necas had a goal and two assists, and linemates Jesperi Kotkaniemi and Teuvo Teravainen each had a goal and an assist for the Hurricanes (37-10-8), who heard the North Carolina State University marching band playing from their seats in the north end zone after each goal Carolina scored. Frederik Andersen made 24 saves and had an assist.
The Hurricanes have won three games in a row and are 12-1-1 in their past 14 dating to Jan. 12, including a 3-2 win at the Capitals on Tuesday.
"It was something that all of us will never forget, and obviously when you do win it feels much better," Necas said. "Every second of it was time you enjoy. You try to focus on the game, but you still feel the fans and the energy. It was my first outdoor game and it was unbelievable."
Tom Wilson scored after missing the previous seven games with a lower-body injury, and Darcy Kuemper made 31 saves for the Capitals (28-24-6).
Washington lost its fourth game in a row, all in regulation. The past three have come without captain Alex Ovechkin, who is away from the team because of the death of his father, Mikhail.
The Capitals lost an outdoor game for the first time (3-1-0).
"I think the only answer to get our swagger back is to get wins, and to get wins right now we need to play a playoff style," Washington forward T.J. Oshie said. "We're missing the big man [Ovechkin], we're missing (defenseman) John [Carlson]. We need to play a playoff-style hockey with the lineup we have to start winning games."