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Can anybody explain me why the method of separation of variables for linear homogeneous PDE works ? thanks

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    If you are looking for a proof: http://www.proofwiki.org/wiki/Separation_of_Variables2012-12-26
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    That page is ODE, not PDE, where "separation of variables" has a different meaning.2012-12-26
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    What do you mean by "works"? Do you mean, why does the method give a solution, or why does the method give,say, a unique solution?2012-12-26
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    @TomOldfield Exactly2012-12-27
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    @RealHilbert I'm confused, I asked an "or" question, what do you mean by "exactly"?2012-12-27
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    @TomOldfield I eager to know answer of both questions2013-01-07

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