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## Homework Statement

Does the following differential equation for u(x,y) have solutions which have the form of a product of functions of each independent variable:

[tex]\partial[/tex]

^{2}u/[tex]\partial[/tex]x[tex]\partial[/tex]y=u

**3. The Attempt at a Solution [/]**

=>[tex]\int[/tex][tex]\int[/tex]u dx dy =uxy=f(x)f(y) ???

=>[tex]\int[/tex][tex]\int[/tex]u dx dy =uxy=f(x)f(y) ???

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