Is My Lecturer Correct in Specifying Initial Conditions for PDEs?

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coverband
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Has my lecturer lost the plot!?

He keeps giving us PDEs to solve where the initial conditions specify x at a POINT rather than along a curve e.g. solve yzx+xzy+z=y given z=2 @ (3,1)


should he not be saying z@ x = ... OR z @ y = ...

thanks
 
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It's the point (3, 1, 2) in cartesian coordinates.