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Math Help - partial differential equation

  1. #1
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    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
    Last edited by Suvadip; May 12th 2011 at 06:30 PM.
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  2. #2
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    Quote Originally Posted by Suvadip View Post
    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.
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  3. #3
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    Sorry, typing mistake was there. Now it is ok
    Quote Originally Posted by Suvadip View Post
    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
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