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Nov 16, 2010 at 12:47 comment added Willie Wong It always felt strange to motivate separation of variables via the wave equation. After all, the very brilliant person who first wrote down the wave equation solved it using the method of characteristics: bibliothek.bbaw.de/bibliothek-digital/digitalequellen/schriften/…
Nov 16, 2010 at 11:07 comment added Ryan Reich This may be an appealing practical approach for beginning students (I remember liking it long ago) but it is not that motivated. That is, it does not avoid the problem of the inventor must having been very smart. (This comment reads harshly but I don't mean it that way.)
Nov 16, 2010 at 6:48 history answered john mangual CC BY-SA 2.5