Diaby netted in the game to maintain Villa's position of fourth in the league with a handful of games to go.
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Post-game, Diaby told Sky Sports: "It's very happy today because it was such a strong performance.
We need to play well to get three points at home in front of our fans. The race for Champions League, it is a good win and chance to get more points.
"We know Bournemouth is a good team. A lot of contact, but we had to stay calm to score our first goal.
After the second half, we had a really good half, and we scored two goals."