Separation of Variables

How are those solutions obtained?

Also, I can't tell if the books has or .

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- December 29th 2010, 07:03 PMdwsmithu_{xx}+u_{yy}=0
Separation of Variables

How are those solutions obtained?

Also, I can't tell if the books has or . - December 29th 2010, 07:08 PMProve It
The two final DEs are second-order linear constant coefficient homogeneous. I suggest you read Differential Equations Tutorial to refresh your memory how to solve DEs of this type.

- December 29th 2010, 07:34 PMdwsmith