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change of variables in PDE?
I hope this isn't too trivial a question... I am trying to change variables in a PDE f[x_,y_] -> F[X,Y] where the new variables and functions are defined like, e.g.: X = x^2 + y Y = 2 + x y F = x f I would like Mathematica to recognize f and all of its partial derivatives, applying the chain rule where necessary, etc. to a PDE given in terms of f, x, and y, returning the PDE in terms of F, X, and Y, with all derivatives fixed accordingly. It seems that this would be a common request, and yet in all my searcing I haven't found a way to do this. Is there a package anyone knows about that does this? Thank you, Geoff Simms