But Arsenal went closest to taking the lead within the first 10 minutes, with new signing Pierre-Emerick Aubameyang seeing his scuffed shot saved by a sprawling Bravo.
Seconds later Aguero found the side netting after an incisive break from City, who looked short of their fluent best.
But it was Aguero who broke the deadlock, controlling the ball as Arsenal’s defence failed to deal with the danger.
The Argentine striker has scored in each of his past five games in all competitions against Arsenal and this was his 199th goal in City colours.
HIGHLIGHTS from the @Carabao_Cup final! #mancity pic.twitter.com/IMdVi2snwg
— Manchester City (@ManCity) February 26, 2018
It was an unusual goal for Guardiola’s team, who have been lauded for their silky passing game this season, which has already seen them hailed as one of the finest sides in Premier League history.
City made a bright start to the second half and captain Kompany was in the right place to steer home Ilkay Gundogan’s shot from the edge of the box after a Kevin De Bruyne corner in the 58th minute.
It was no more than City deserved against a lacklustre Arsenal and the Belgian celebrated wildly in front of his own fans.
Just seven minutes later Arsenal were left with a mountain to climb when Silva smashed the ball past Ospina into the far corner of the net to make it 3-0.
Former Barcelona and Bayern Munich boss Guardiola kept faith with reserve goalkeeper Bravo for the Wembley showpiece ahead of first-choice Ederson. Bravo has played in every round of the competition so far.
Wenger also played his number two between the sticks, fielding Ospina ahead of Petr Cech.
A disappointed Wenger bemoaned his side’s failure to take the lead through Aubameyang.
“I felt the game, we had the first good chance, a very easy one that we missed,” he said.
“After that we made a big mistake for their first goal. But we controlled them pretty well in the first half, but they came out in the second half, and we were unlucky because the second goal was offside. But congratulations to Man City, they deserve the win.”