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Hibs manager Jack Ross tells BBC Scotland: "We created a lot of chances away from home and we're confident we can do that again at home. We're frustrated not to win but there were more positives than negatives to take from that performance.
"The injuries (to Jason Naismith and Ryan Porteous) will need to be assessed but it's not looking too positive."
"We're not used to playing at that level of intensity every week, but I'm very pleased with the players' efforts and we look forward to another battle at Easter Road," says Dundee United boss Robbie Neilson, who is not having any suggestion that Hibs were the dominant team at Tannadice.
We don't have long to wait for our next helping of live football, with a full Premiership card to come on Wednesday.
Here's what we have to look forward to as the top flight resumes after a winter break.
- Aberdeen v Motherwell
- Hibernian v Hamilton Academical
- Kilmarnock v Celtic
- Livingston v St Johnstone
- Rangers v St Mirren
- Ross County v Heart of Midlothian
Ross County are the only top flight missing for the next round, so it's a strong draw for the last 16.
Lowland League side BSC Glasgow, who beat East Kilbride yesterday, will be hoping for a glamour tie and a big pay day.
Hibs v Dundee United & Falkirk v Arbroath are the replays to come from round four.
Hibs striker Christian Doidge tells BBC One Scotland: "We're really disappointed to draw. We're going to have a very busy schedule now. We fancy ourselves against anyone at Easter Road, so I'm looking forward to it (the replay)."
So, Dundee United and Hibernian both go into the hat for the fifth round draw. That's coming up on Sportscene later this evening. The show starts at 19:15 on BBC Scotland and you'll be able to see highlights of a cracker from Tannadice.
"It'll be tough but we can do it. We showed that we can compete with them, so we'll go there confident of getting the win," Dundee United hero Louis Appere tells BBC One Scotland, looking ahead to the replay.
BBC Sport at Tannadice
Breathless stuff at the end, with Hibs perhaps unfortunate not to have ended the tie at the first attempt. Instead, they go again a week on Tuesday and United's unbeaten run extends to 13 matches.
These two will meet again at Easter Road on Tuesday, 28 January.
Let's hope it's as entertaining as this one. Hibs will feel they did enough to win, creating more meaningful chances, but United showed admirable pluck to hang in and Louis Appere conjured up a pretty special second goal for the hosts.
Former Dundee United midfielder on BBC SportsoundQuote Message: It's been a terrific cup tie. In the last 20 minutes Dundee United have shown great character to get back into the game.
Lovely control with the chest and Christian Doidge is through, but he can't lift his shot over the rapidly advancing Benjamin Siegrist. A big, big chance to win it right at the death.
Into stoppage time now...
An almighty scramble inside the United penalty area, with Hibs skipper David Gray inches away from connecting with a diving header. Suddenly, a counter-attack is on the cards, but play is brought to a halt after a head knock for Mark Connolly, who has been in the wars of late.
Martin Boyle pops up on the left and cuts inside to have a blast. Mark Connolly takes one for the team, getting his head in the way and is knocked onto his backside. He gets a few pats on the back for that act of bravery as he gets back to his feet.
More fancy footwork from Louis Appere as he steals the ball from Martin Boyle and races up the park to have another shot. He goes for the same corner of the goal but this time it bends a foot or two wide.
Former Dundee United midfielder on BBC SportsoundQuote Message: You just get the feeling there's a winner in this for someone.
Another United change, with teenager Declan Glass taking over from Ian Harkes in the midfield engine room.
Hibs have lost their fluency after that second equaliser and it's all getting a bit scrappy now.
Former Hearts & Rangers winger on BBC SportsoundQuote Message: It's like a bowling ball, it rolls into the corner. What a goal, son. You wouldn't put it past United stealing this now.