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MathGroup Archive 2004

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trouble w/ PDE

  • To: mathgroup at smc.vnet.net
  • Subject: [mg46215] trouble w/ PDE
  • From: "Gioacchino Fabio P." <gioacchinofabio.pellerit at tin.it>
  • Date: Thu, 12 Feb 2004 07:15:43 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

During last Math test i had some trouble with two partial differential
equations, i.e.
(y^3-x)*D[u[x,y],x]+y*D[u[x,y],y]==0, and the non homogeneous obtained from
this equating to 2y^2 i.e.
(y^3-x)*D[u[x,y],x]+y*D[u[x,y],y]==2y^2
Mathematica 5.0.0.0 gives a solution only for the first pde but crashes
while try to solve the second one with the instruction:
DSolve[(y^3 - x)D[ u[x, y] ,x + y*D[u[x, y],y] - 2  y^2 == 0, u, {x, y}]
(pls read D[u[x, y],y] as \!\(\[PartialD]\_y\ u[x, y]\) an similar for
D[u[x, y],x].)
Does anybody know why this crash? and so can you help me to find an
analithical method to solve non omogeneous pde like this? thanks of all


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