The steady state temperature u ( r , t ) such that ∂ 2 u ∂ r 2 + 1 r ∂ u ∂ r + β = ∂ u ∂ t , u ( 1 , t ) = 0 , u ( r , 0 ) = 0 .

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Chapter 14.2, Problem 14E

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The steady state temperature u(r,t) such that ∂2u∂r2+1r∂u∂r+β=∂u∂t , u(1,t)=0 , u(r,0)=0.

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