Phil Foden and Riyad Mahrez scored twice apiece and David Silva added to the away side's misery as Burnley's unbeaten run in the top flight came to an abrupt end.
Foden beat Nick Pope from the edge of the box at the midway point in the first half before his Algerian netted twice before the break.
Mahrez collected Fernandinho's raking pass before turning Charlie Taylor inside out and firing into the far corner.
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Left exposed by his defence far too often at the Etihad Stadium. However, the England stopper may well feel that he could have done better to keep out some of City's finishes.
He then beat Pope from the spot minutes later after Clarets skipper Ben Mee had caught Sergio Aguero inside the box.
Burnley's defence was then pulled apart twice in the second half as Silva extended City's lead from close range, converting Bernardo Silva's centre.
And then Foden beat Pope at his near post with his left foot as the ball found its way to the far side of the box.
Started well and limited City's attacks down his side of the pitch. However, found it difficult to keep the door locked once the home side hit their stride. The full back was out of position in the lead up to the home side's third and fifth goals.
Given the runaround at times in Burnley's return to action. Recovered well on occasions, but culpable for Riyad Mahrez's first goal of the evening and caught on his heels in the build up to both of City's second half strikes.
Continues to show that he belongs at the highest level of football. Solid first half performance, very rarely putting a foot wrong, though City succeeded in splitting Burnley's two centre backs after the break to add to their tally.
The Clarets skipper was given a hard time on his return to his former club. The centre half conceded the penalty that led to City's third just before the break and was caught out a number of times after the break as City got into their groove.
It was a baptism of fire for the former Bristol City midfielder on his full debut for the club. Worked hard up and down the pitch and used the ball well when given the opportunity, but struggled to make an impact against a very impressive City side.
Tied Joao Cancelo in knots on a couple of occasions in the first half and did well to get the ball into the box. Worked hard, tried to make things happen but, ultimately, he failed to make his mark as City got on top.
Did ever so well in the first half to track City's playmakers in the middle of the park but the home side were eventually able to break through the lines with ease. City carved the Clarets open up at will and the visitors couldn't compete.
The midfielder was like a man possessed in the first half and continued to give his all in the second. Cork did all he could to get behind the ball when City got forward in numbers and tried to get a foot on the ball when it broke.
Applied the pressure in the final third in a bid to prevent City from playing out at the back and tracked back well, turning the ball over a number of times. A very unselfish display and only sacrificed as Dyche opted for 'damage limitation'.
Suffocated by City's backline whenever he was able to get on the ball but continued to try and make things happen. The Czech Republic international ran himself into the ground in the second half once utilised as a lone striker.
Introduced at 4-0 to try and tighten things up at the back, but couldn't get close to De Bruyne as the Belgium international broke free to engineer City's fifth and final goal. Stayed resolute and helped limit City's openings as the game wore on.