- #1
bossman007
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Homework Statement
The steady state temperature distribution [tex]T(x,y)[/tex] in a flat metal sheet obeys the partial differential equation:
[tex]\displaystyle \frac{\partial^2 T}{\partial x^2}+ \frac{\partial^2 T}{\partial y^2} = 0 [/tex]
Seperate the variables in this equation just like in the one-dimensional wave equation and find T everywhere on a square flat plate of sides S with the boundary conditions:
[tex] T(0,y)=T(S,y)=T(x,0) , T(x,S)=T_0 [/tex]
Homework Equations
The Attempt at a Solution
this is what I have so far..not sure what to do next?
[url=http://postimage.org/image/k0ujzisqz/][PLAIN]http://s17.postimage.org/k0ujzisqz/steady_state_heat_prob.jpg[/url][/PLAIN]
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