Please help me to solve a PDE's system
- To: mathgroup at smc.vnet.net
- Subject: [mg42151] Please help me to solve a PDE's system
- From: "Ciuca Marian George" <mgciuca at univ-ovidius.ro>
- Date: Sat, 21 Jun 2003 02:49:30 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
I want to find u:R^2->R which is the solution of the following system:
D[u[x,y],x] = 2 x
D[u[x,y],y] = 2 y
It is very easy to see that the solution, in this case is u(x,y)=x^2 + y^2 + k,
where k is a real constant.
Generally speaking, i have a more important system to solve but even for
this system i could not find the solution using Mathematica.
Thank you in advance,
George.