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This is a problem I need to solve in order to create a temperature profile. I have never encountered anything like this, and don't know where to start. Any suggestions?

[tex]A * \frac{\partial}{\partial x}* \left[ \kappa(T(x)) * \frac{\partial T(x)}{\partial x}\right] = 0 [/tex]

where

x : Position

A : Cross sectional area of the rod

[tex] T(x) [/tex] : Temperature as a function of position

[tex] \kappa ( T(x) ) [/tex] : the coefficient of thermal conductivity as a function of Temperature

I'm trying to solve for [tex] T(x)[/tex].

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# Order to create a temperature profile.

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