"I thought in the first half we scored a terrific goal," Coyle said.
"Their goal (from Alan Judge) gave them a lift and they put us under a bit of pressure but we changed things around a bit and if you analyse that game we had about six clear-cut, gilt-edged chances.
"In the second half we were comfortable.
"Sometimes it's going to be about grinding it out and and as soon as (Blake) controlled it on his chest we all felt it was going into the back of the net because we know the standards we have got.
"All in all I think Plymouth will be fine, and that they will be a Championship side next season, but they are struggling for their status and we knew that it would be tough down here."
Plymouth boss Paul Sturrock admitted: "I am gutted for everybody at the football club. Today I don't think we deserved that.
"I think our work rate and our attitude, the performance - as far as passing the ball is concerned - and our positive approach merited more out of the game than we got.
"But when you are in this position, that's what happens to you.
"In the end, it is sometimes difficult, you go away from football games that you lose thinking you have been absolutely hopeless or really disappointed with this, that and the next.
"This one gave me a crumb of hope.
"If we can bed this team down, and hone some things, I think we are going to win football games."
Blake's winner came out of the blue and was a stunning solo effort.
Just seconds after home skipper Karl Duguid had sent an angled drive past the Burnley upright, the Clarets scored.
Argyle central defender Marcel Seip's headed clearance fell invitingly to Blake and he swept forward and then unleashed an unstoppable rising drive into the top corner.
Duguid denied the visitors' Chris McCann in the third minute, deflecting his close-range shot over the crossbar.
It was brief respite as Seip's hooked clearance on 16 minutes was gathered by the visitors and Blake's cross from the left was headed home at the far post by Burnley skipper Steve Caldwell.
Argyle countered within a minute, striker Ashley Barnes won the ball off a Burnley defender down the left and winger Judge, on loan from Blackburn, took the ball on and beat Clarets keeper Brian Jensen with a sublime curling shot.