Q2: Consider the approximate solutions of the form ũ1(x) = x(1 – x)(co + c,x) to the two-point boundary-value problem -(1 + x)u"(x) – u'(x) = x, %3D 0 < x< 1, u(0) = u(1) = 0, %3D By using the least-squares method then we have that C1 = 0.0369. С1 3D 0.0369. C1 = 0.0369. = 0.147, = 0.347, a) co = b) co c) Co = 0.547, d) None of the above is true.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q2: Consider the approximate solutions of the form ũ, (x)
x)(co + C,x) to the two-point boundary-value problem
x(1 –
%3D
0 < x< 1,
-(1 + x)u"(x) –- u'(x) = x,
u(0) = u(1) = 0,
%3D
By using the least-squares method then we have that
a) co =
b) Co
c) Co
d) None of the above is true.
0.147,
C1 = 0.0369.
0.347,
C1 =
0.0369.
0.547,
C1 = 0.0369.
Transcribed Image Text:Q2: Consider the approximate solutions of the form ũ, (x) x)(co + C,x) to the two-point boundary-value problem x(1 – %3D 0 < x< 1, -(1 + x)u"(x) –- u'(x) = x, u(0) = u(1) = 0, %3D By using the least-squares method then we have that a) co = b) Co c) Co d) None of the above is true. 0.147, C1 = 0.0369. 0.347, C1 = 0.0369. 0.547, C1 = 0.0369.
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