United face a tricky trip to fourth-placed Tottenham Hotspur on Sunday with their advantage at the top whittled down to four points after Spain midfielder Silva struck in the second and 69th minutes for hosts and champions City.
Jordan Henderson, long seen as a major flop, scored a rare goal in seventh-placed Liverpool's home thrashing of Norwich when his thunderous shot on the turn from the edge of the area flew into the corner of the net after 26 minutes.
The goal was only his fourth since signing from Sunderland in 2011 for 16 million pounds ($25.38 million) but it was worth the wait for the fans, who also saw an outrageous dummy from new striker Daniel Sturridge set up Luis Suarez for the second.
Sturridge then made it three goals in three games since joining from Chelsea when he converted a cross from another Liverpool misfit Stewart Downing in the second half.
Captain Steven Gerrard added a fourth from distance and Ryan Bennett's own goal made it five as Brendan Rodgers' side showed real signs of promise after a fitful season so far.
There was also a landmark early strike for Queens Park Rangers debutant Loic Remy, who coolly netted in a 1-1 draw at London rivals West Ham United which left Harry Redknapp's side four points adrift at the bottom.
Former Chelsea and Liverpool winger Joe Cole grabbed the 68th-minute equaliser on the rebound for his first goal since rejoining the Hammers.
Reading jumped out of the relegation zone with another comeback after substitute Adam Le Fondre's brace in 2-1 away win that left 16th-placed Newcastle United reeling after France midfielder Yohan Cabaye's free kick gave the hosts the lead.
Wigan Athletic fell into the bottom three following a 3-2 home defeat by resurgent Sunderland and are level on points with Reading and second-bottom Aston Villa, who visit West Bromwich Albion in the Birmingham derby later on Saturday (1730 GMT).
In mid-table, Swansea City shone again as Jonathan de Guzman scored twice in a 3-1 home win over Stoke City, who have conceded 10 in three matches in the league this month but at least saw a first club goal for substitute Michael Owen late on.
Third-placed Chelsea host fellow Londoners Arsenal on Sunday knowing the gap to City in second is now nine points following the Manchester side's simple victory over faltering Fulham.
Silva, less inspired this season than last especially in front of goal, found his scoring boots early on when he confidently slotted home after Edin Dzeko's effort was parried.
The Spaniard dinked in his second after a clever backheel from Carlos Tevez and shortly afterwards was clean through but spurned the chance of a third.
Fulham, who barely threatened, have been on the slide with two wins in 15 league games and are now six points above the drop zone.
Heavy snow across England and Wales led to many games in the lower divisions being postponed but the top flight was unaffected by the weather.
Southampton and new Argentine manager Mauricio Pochettino welcome fifth-placed Everton on Monday.
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