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EX4: Non-Constant Conductivity II

Derive the differential equation governing Example 4.

Problem 55:

Substitute and in Fourier's law of heat conduction, , to obtain



Equation 77

Answer

Problem 56:

(b) Now use this result, together with equations (6.1) and (6.2), to obtain the differential equation



Equation 80

or



Equation 81

where for convenience we have introduced the constant

Answer

 
 
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