Craig Conway's first-half strike for Cardiff looked like it would prove to be decisive but substitute David Edgar's injury-time header salvaged a potentially precious point.
Dyche said: "We had a chat at half-time more than anything and I said, 'Lads, just relax and play. Play with that freedom and that energy'.
"I mentioned it several times. It's more difficult than you think.
"You've got a crowd expecting, you've got an opposition who are the market leaders and I knew Malky would go hard and their team wouldn't just back off. They've got some real talent there.
"It was more a case of telling them to relax and play with energy. There were a couple of tactical changes and obviously one of them worked nicely.
"Cardiff have done a great job, it must be said - Malky, his troops, his staff, his player have done a fantastic job.
"We all know, we've seen it this year, it's as tight as ever. It's a tough league, make no mistake."