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second order linear PDE

• To: mathgroup at smc.vnet.net
• Subject: [mg74444] second order linear PDE
• From: "Paul" <paulbird at whsurf.net>
• Date: Wed, 21 Mar 2007 02:55:33 -0500 (EST)

Can Mathematica solve this second order linear (hyperbolic?) PDE?

Fxx+(3/x)*Fx+Fyy+(3/y)*Fy+((z^2-x^2-y^2)/xy)*Fxy = 1/(x^2y^2)


where Fxy= (d/dx)(d/dy)F and so forth. I think it must have at least
logarithms in it since I can't work it out as a power series.