(a) Q'(x) = { { lo(x) = 1- 2x + x?, on [-1,0] Q, (x) = 1- 2x, оn [0, 1)] (b) Q(x) = {Co(x) = 1+ 2x, Q, (x) = 1+ 2x +x?, on [-1,0] оп [0, 1] %3D %3D on [-1,0] on [0,1] Qo(x) = 1-2x, (c) Q(x) %3D Q1(x) = 1+ 2x+ x², %3D (d) Q(¢x) = { Qo(x) = 1+ 2x + x2, on [-1,0] Q, (x) = 2x + 1, %3D on [0, 1] %3!

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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Question
(a) Q(x) = {
{ lo(x) = 1- 2x + x?, on [-1,0)
Q. (x) = 1- 2x,
on [0,1]
(b) Q(x) = {Co(x) = 1+ 2x,
Q, (x) = 1+ 2x +x?,
on [-1,0]
on [0,1]
%3D
Qo(x) = 1-2x,
on [-1,0]
on [0,1]
%3D
(c) Q(x)
%3D
Q1(x) = 1+ 2x+ x²,
%3D
(d) Q(x) = { C0
Qo(x) = 1+ 2x + x2, on [-1,0]
Q, (x) = 2x + 1,
%3D
on [0, 1]
Transcribed Image Text:(a) Q(x) = { { lo(x) = 1- 2x + x?, on [-1,0) Q. (x) = 1- 2x, on [0,1] (b) Q(x) = {Co(x) = 1+ 2x, Q, (x) = 1+ 2x +x?, on [-1,0] on [0,1] %3D Qo(x) = 1-2x, on [-1,0] on [0,1] %3D (c) Q(x) %3D Q1(x) = 1+ 2x+ x², %3D (d) Q(x) = { C0 Qo(x) = 1+ 2x + x2, on [-1,0] Q, (x) = 2x + 1, %3D on [0, 1]
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