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OpenStudy (anonymous):
Is u(x,y) = x3+3xy2 a laplace equation?
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OpenStudy (anonymous):
\[u''xx+u''yy =0 \]
OpenStudy (anonymous):
is what you need for a laplace equation.
OpenStudy (anonymous):
u''xx = 6x+0 =6x
OpenStudy (anonymous):
u''yy= 6x
OpenStudy (anonymous):
Therefore it is NOT a laplace equation.
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OpenStudy (anonymous):
Okay for any function of u(x,y), I would just have to take the derivative of the x's first and then the y's right?
OpenStudy (anonymous):
second derivative i mean
OpenStudy (anonymous):
http://en.wikipedia.org/wiki/Laplace's_equation#Laplace_equation_in_two_dimensions
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