A sphere with radius 1m has temperature . It lies inside a concentric sphere with radius

Chapter 7, Problem 42

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A sphere with radius 1m has temperature . It lies inside a concentric sphere with radius 2 m and temperature . The temperature at a distance from the common center of the spheres satises the differential equationd2T dr22 r dT dr 0If we let , then satises a rst-order differential equation. Solve it to nd an expression for the temperature between the spheres.

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