Find the equilibrium temperature distribution in a uniform rod when the end x = 0 is maintained at temperature 0 and the end x = L is maintained at temperature T.

I know this is easy, but I have no examples on how to do this.

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- Feb 4th 2011, 04:48 AMdwsmithUniform rod
Find the equilibrium temperature distribution in a uniform rod when the end x = 0 is maintained at temperature 0 and the end x = L is maintained at temperature T.

I know this is easy, but I have no examples on how to do this. - Feb 4th 2011, 05:05 AMAckbeet
$\displaystyle 0=u_{t}=ku_{xx},$

since you're in equilibrium.

Integrate twice to get your solution, then fit to the boundary conditions.