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