Consider a uniform rod of length L with an initial temperature given by u(x,0) = sin(Tx/L), 0 ≤x≤ L. Assume that both ends of the bar are insulated. (a) Find the temperature u(x, t). (b) What is the steady-state temperature as t→ ∞? (c) Let a² = 4 and L = 20. Plot u versus x for several values of t. Also plot u versus t for several values of x.

Consider a uniform rod of length L with an initial temperature given by u(x,0) = sin(Tx/L), 0 ≤x≤ L. Assume that both ends of the bar are insulated. (a) Find the temperature u(x, t). (b) What is the steady-state temperature as t→ ∞? (c) Let a² = 4 and L = 20. Plot u versus x for several values of t. Also plot u versus t for several values of x.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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