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Solve the Boundary-Initial Value Problem du Ət k d²u Əx² = du dx u(x,0) = x², > ·(0, t) = 0, where an = du dx 00 ∞ 2 L u(x, t) ane (-²¹) cos (172) (2² = L n=0 -(L,t) = 0, t>0 n> 1 Remember that has already been factored out! 2 L

Solve the Boundary-Initial Value Problem du Ət k d²u Əx² = du dx u(x,0) = x², > ·(0, t) = 0, where an = du dx 00 ∞ 2 L u(x, t) ane (-²¹) cos (172) (2² = L n=0 -(L,t) = 0, t>0 n> 1 Remember that has already been factored out! 2 L

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the Boundary-Initial Value Problem du Ət k ² u Əx² = Ju əx u(x,0) = x², (0, t) = 0, 2 where an = that models the temperature of a heated wire with insulated ends. The series solution of the boundary value problem is 2 0 < x < L, t> 0 ди əx 0<x<L u(x, t) Σane (-***) cos = n=0 (L,t)=0, t>0 n> 1 NTT X Remember that has already been factored out! L
Transcribed Image Text:Solve the Boundary-Initial Value Problem du Ət k ² u Əx² = Ju əx u(x,0) = x², (0, t) = 0, 2 where an = that models the temperature of a heated wire with insulated ends. The series solution of the boundary value problem is 2 0 < x < L, t> 0 ди əx 0<x<L u(x, t) Σane (-***) cos = n=0 (L,t)=0, t>0 n> 1 NTT X Remember that has already been factored out! L
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