[link to original on tumblr]
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Considering that ELO used that motif in other songs (near the beginning of "Roll over Beethoven" and after "I think she'd die for Beethoven" in "Rockaria!"), it wouldn't be too surprising if the similarity here were intentional. And actually, in referencing "Roll over Beethoven" and "Rockaria!," I found that they didn't use the motif exactly as Beethoven wrote it anyway. "Roll over Beethoven" has it half a step higher (G# E F# D#), and "Rockaria!," which has only two notes of the motif, has it as G and E, not G and Eb. They all have roughly the same rhythm though.