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(6) The Non-homogeneous Heat equation 4 t = 4uxx + x3 0 0 1 u(0,t) = 2 " Ux (2,t) = 0 u(x,0) = x² under the assumption u(x,t)=w(x,t)+v(x), then v(x)= -x5 (a) -+x-2 (b) 80 -x5 -x5 80 +x+1 (d) - 80 ד ר7 -+x+2 (c)- 80 +x-1 (e) None of these

(6) The Non-homogeneous Heat equation 4 t = 4uxx + x3 0 0 1 u(0,t) = 2 " Ux (2,t) = 0 u(x,0) = x² under the assumption u(x,t)=w(x,t)+v(x), then v(x)= -x5 (a) -+x-2 (b) 80 -x5 -x5 80 +x+1 (d) - 80 ד ר7 -+x+2 (c)- 80 +x-1 (e) None of these

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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(6) The Non-homogeneous Heat equation 4 t = 4uxx + x3 0<x<2, t> 0 1 u(0,t) = 2 ux (2,t) = 0 " u(x,0) = x² under the assumption u(x,t)=w(x,t)+v(x), then v(x)= -x5 -x5 (a) -+x-2 (b) 80 -x5 (d) - 80 80 (7) The PDF YIL -x5 -+x+2 (c)- +x+1 80 3 +x-1 (e) None of these
Transcribed Image Text:(6) The Non-homogeneous Heat equation 4 t = 4uxx + x3 0<x<2, t> 0 1 u(0,t) = 2 ux (2,t) = 0 " u(x,0) = x² under the assumption u(x,t)=w(x,t)+v(x), then v(x)= -x5 -x5 (a) -+x-2 (b) 80 -x5 (d) - 80 80 (7) The PDF YIL -x5 -+x+2 (c)- +x+1 80 3 +x-1 (e) None of these
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