Laplace equations Show that if w = f(u, v) satisfies the Laplace equation f uu + f
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Laplace equations Show that if w = f(u, v) satisfies the
Laplace equation f uu + f vv = 0 and if u = (x 2 - y 2 )/2 and
v = xy, then w satisfies the Laplace equation w xx + w yy = 0.
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