(a) Consider the diffusion equation in the ball of radius

Chapter 10, Problem 7

(choose chapter or problem)

(a) Consider the diffusion equation in the ball of radius a, with u/r = B ontheboundaryandu=C whent=0,whereBandC are constants. Find the nondecaying terms in the expansion of the solution. (Hint: The answer is radial.) (b) Find the decaying terms, including a simple equation satised by the eigenvalues.

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