The Eagles were in cruise control by half-time with Yéremy Pino getting the ball rolling, before Chris Richards' header and a Jørgen Strand Larsen penalty made it 3-0.
Substitute Eddie Nketiah then wrapped things up in the closing minutes with a clever finish after good work from Dwight McNeil.
Overall, it was a mightily impressive return to the European stage for the Eagles, who take maximum points on matchday one.
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