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Mathematics 6 Online
OpenStudy (anonymous):

Is u(x,y) = x3+3xy2 a laplace equation?

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.

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

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