Albert Barnes on Matthew 9:1

And he entered into a ship, etc. Jesus acceded to the request of the people of Gadara, recrossed the lake of Gennesareth, and returned to his own city. By his own city is meant Capernaum, (@Mr 2:1) the city which was at that time his home, or where he had his dwelling, See Mt 4:13. This same account, with some additional circumstances, is contained in Mk 2:3-12, and Lk 5:18-26.