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EX4: Non-Constant Conductivity II

The implicit representation for equation (6.5), defines two different expressions for (therefore for ).

From the boundary conditions, however, we expect a unique solution .

Problem 59:

Use the quadratic formula to obtain two explicit expressions for .

Answer

Problem 60:

Approximate each of the functions just found by using the



Equation 119

Derive the approximations



Equation 120

Answer

Problem 61:

For each of the functions on the right side of the equation, examine the limiting behavior of as , to decide which of the expressions in (a) represents the correct solution of our boundary problem.

Answer

 
 
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