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Eddie Howe's Cherries went into the contest on the back of a shock 4-1 win over UEFA Champions League hopeful Leicester City, but it had no such joy in Manchester, with Silva providing another reminder of his class as his Premier League career winds to its conclusion.

The Spanish midfielder opened the scoring with a wonderful free-kick and then found Jesus for City's excellent second, but in the intervening period Bournemouth was twice unfortunate not to net themselves.

Joshua King then strayed agonisingly offside while scoring a second-half goal the visitors had chalked off, before David Brooks did net legally two minutes from time.

But it was too little, too late, as City clung on at the end and Bournemouth remained three points adrift of safety.

Although Kevin De Bruyne and Raheem Sterling dropped to the bench, City began with great intent and took just six minutes to open the scoring – Silva bending a free-kick around the wall and in from 25 yards.

Bournemouth responded excellently, however.

Junior Stanislas went close with a free-kick of his own just past the half-hour mark, as Ederson tipped it on to the post and then got lucky as the ball struck his head and went out for a corner.

Dominic Solanke then saw a close-range effort crucially deflected just over by Nicolas Otamendi, and City capitalised in the 39th minute, Jesus finding the bottom-right corner after a wonderful slaloming run.

Bournemouth was unfortunate again with an hour played – King turned Stanislas' shot in from close range, but a VAR review showed the Norwegian was marginally offside.

City had another escape soon after, with Dan Gosling's effort blocked by Ilkay Gundogan after Ederson had fumbled a cross.

Ederson's clean sheet was wiped out in the 88th minute, with Callum Wilson squaring to Brooks for an easy finish on the break, but City managed to hold on in the face of intense late pressure.