Laplacian in Slanted Coordinates

mathskier
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Whoops, I figured it out!
 
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mathskier said:

Homework Statement


Determine ∇2F in a coordinate system with u and v, where u=y-x and v=y.

Homework Equations


The Attempt at a Solution


I think that this is ∇2F= 2 (∂2F/∂r2 + ∂2F/(∂r ∂s))+∂2/∂s2. But I don't know how to check this... Is it correct?

Well, how did you get it? It can't be right, since the derivatives are with respect to r and s (whatever they are), not u and v.
 

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