Advanced Engineering Mathematics
Advanced Engineering Mathematics
6th Edition
ISBN: 9781284105902
Author: Dennis G. Zill
Publisher: Jones & Bartlett Learning
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Chapter 14.2, Problem 16E

(a)

To determine

To show: The function v(r,t) satisfies the given conditions when u(r,t)=v(r,t)+Bt for equation 2ur2+1rur=ut.

(b)

To determine

The solution of boundary value problem by substitution of v(r,t) as v(r,t)=w(r,t)+ψ(r).

(c)

To determine

The solution of u(r,t) such that 2ur2+1rur=ut, ur|r=1=1 and u(r,0)=0.

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