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Ninty64
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Homework Statement
Determine the equilibrium temperature distribution for a one-dimensional rod composed of two different materials in perfect thermal contact at x=1. For 0<x<1, there is one material (cp=1, K0=1) with a constant source (Q=1), whereas for the other 1<x<2 there are no sources (Q=0, cp=2, K0=2) with u(0) = 0 and u(2) = 0.
Homework Equations
heat equation:
The Attempt at a Solution
First I did the calculations for the first part of the rod (0<x<1)
Then I did the calculations for the second part of the rod (1<x<2)
Then I tried to set them equal at x=1
And now I'm stuck. I can't figure out how to find out the values of the constants, and I don't feel confident. I feel like I'm doing something wrong.