partial differential equation

Let u = u(x,y) be the complete integral of the PDE

$\displaystyle \frac {\partial u} {\partial x} . \frac {\partial u} {\partial y} = xy $ passing through the points

(0,0,1) and (0,1,1/2) in the x-y-u space.

Compute the value of u(x,y) evaluated at (-1,1) is _____

I'm completely lost with respect to this problem.. 'd be great if someone can show me the right direction.

Thanks,

Re: partial differential equation

$\displaystyle \displaystyle \begin{align*} \\ \frac {\partial u} {\partial x} . \frac {\partial u} {\partial y}\ &=\ xy &=\ (kx) (\frac{y}{k})\ & \Leftarrow\ \LARGE{[}\ \frac {\partial u} {\partial x} = kx \And \frac {\partial u} {\partial y} = \frac{y}{k}\ \Huge{]} \end{align*}$

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Re: partial differential equation

Tom, thanks for the reply! that definitely showed a lot of light on how to get started !!! Thanks again, TOM@ballooncalculus... The image was thoughtfully designed... :)