A poor second half display was followed up by an improved showing after the break with goals from Lee Gregory and Callum Paterson turning the match around after Josh Key had put the visitors in front.
“It was all of us together,” Darren Moore said of the first 45 minutes. “All of us in a group. We knew we couldn’t carry on like that, we were a team at home and we had to go and get it. It was certainly a game of two halves and you saw we were better in that second half and we got it.”
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Over 26,000 fans were at Hillsborough with matches running out as Wednesday hope to break into the top two before the regular season finishes,
The Owls aren't in action this week but rivals Ipswich and Plymouth both are, against Barnsley and Bristol Rovers respectively.
Have a look through or gallery of pictures of Owls fans at S6 on Saturday.
1. Sheffield Wednesday fans v Exeter City
Over 26,000 fans were at Hillsborough for Sheffield Wednesday's 2-1 win over Exeter City Photo: Steve Ellis
2. Sheffield Wednesday fans v Exeter City
Owls fan John McClure of Reverend and the Makers picks the tunes ahead of the match Pic Steve Ellis Photo: Steve Ellis Steve Ellis
3. Sheffield Wednesday fans v Exeter City
Over 26,000 fans were at Hillsborough for Sheffield Wednesday's 2-1 win over Exeter City Photo: Steve Ellis Steve Ellis
4. Owls fans at Hillsborough Pic Steve Ellis
Over 26,000 fans were at Hillsborough for Sheffield Wednesday's 2-1 win over Exeter City Photo: Steve Ellis Steve Ellis