# partial differential equation

• May 12th 2011, 06:06 PM
partial differential equation
Please give me some hints to solve the equation

$\frac{\partial^2 z}{\partial x^2}+\frac{\partial^2 z}{\partial y^2}=k^2 z$

Boundary condition: $z=z_0(\mbox{constant}) \quad\mbox{at}\quad x=\pm a \quad\mbox{and}\quad y=\pm b$
• May 12th 2011, 06:13 PM
TheEmptySet
Quote:

Please give me some hints to solve the equation

$\frac{\partial^2 y}{\partial x^2}+\frac{\partial^2 y}{\partial x^2}=k^2 y$

Boundary condition: $y=Y_0(\mbox{constant}) \quad\mbox{at}\quad x=\pm a \quad\mbox{and}\quad y=\pm b$

I think you have a typo or this is an 2nd order linear ODE with constant coefficients not a PDE.
• May 12th 2011, 06:31 PM
$\frac{\partial^2 z}{\partial x^2}+\frac{\partial^2 z}{\partial y^2}=k^2 z$
Boundary condition: $z=z_0(\mbox{constant}) \quad\mbox{at}\quad x=\pm a \quad\mbox{and}\quad y=\pm b$