Question: Show that, for any function w(u, v), w(x, y, z) defined by x + Z w(x, y, z) = w(u, U), u = U =

Show that, for any function w(u, v), w(x, y, z) defined by x + Z w(x, y, z) = w(u, U), u = U = (x - y)2 - z2 y satisfies the partial differential equation aw aw (y +z) ax +yay + (x - y) = 0. az

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