PROBLEM 12.3 Determine an approximate solution of the following BVP below using the Least Squares method. du k(1 + x) dx -x, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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PROBLEM 12.3
Determine an approximate solution of the following BVP below using the Least Squares method.
du
k(1 + x)-
=x, 0<x<1, u(0) = u(1) = 0
dx
Use the following series: ū = a,x(1-x)+a,
* (1-x)
Transcribed Image Text:PROBLEM 12.3 Determine an approximate solution of the following BVP below using the Least Squares method. du k(1 + x)- =x, 0<x<1, u(0) = u(1) = 0 dx Use the following series: ū = a,x(1-x)+a, * (1-x)
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