Determine an approximate solution of the following BVP below using the Least Squares method. d dx du k(1+x)- =x, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine an approximate solution of the following BVP below using the Least Squares method.
d
140
k(1+x) =x, 0<x<1, u(0) = u(1) = 0
dx
du
dx
Use the following series: ũ = a,x(1-x)+ a₂
+ a₂ ( 1 − x)(1-x)
2
Transcribed Image Text:Determine an approximate solution of the following BVP below using the Least Squares method. d 140 k(1+x) =x, 0<x<1, u(0) = u(1) = 0 dx du dx Use the following series: ũ = a,x(1-x)+ a₂ + a₂ ( 1 − x)(1-x) 2
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