С. (x² + 4)y" + xy = x + 2 1- ao 1 a1 +5 2 - ao Σ 1 = ao + a,x +-x² + 24 4 | Answer: y = Anxn x5 + …. 320 - 48 n=0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE.

I already have the final answers (general solutions) for each given. I just need the complete and step-by-step process/solution on how it arrived to the final answer.

This topic falls under Power Series.

С.
(x² + 4)y" + xy = x + 2
1
= ao + a,x +-x² +
1- ao
1
a1 +-
2 - ao
Σ
|
|
Answer: y =
Anxn
-x5 + •…·
320
%3D
4
24
48
n=0
Transcribed Image Text:С. (x² + 4)y" + xy = x + 2 1 = ao + a,x +-x² + 1- ao 1 a1 +- 2 - ao Σ | | Answer: y = Anxn -x5 + •…· 320 %3D 4 24 48 n=0
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