4. (1+ 4x²)y" — 8y = 0. ANS. yao(1 + 4x²) + a₁ Σ k=0 (-1)*+¹2²kx2k+1 4k² - 1 valid for x <

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
4. (1+ 4x2)y" - 8y = 0.
ANS. yao(1 + 4x²) + a₁ Σ
k=0
(-1)+122kx2k+1
4k² - 1
-; valid for [x] <£.
Transcribed Image Text:4. (1+ 4x2)y" - 8y = 0. ANS. yao(1 + 4x²) + a₁ Σ k=0 (-1)+122kx2k+1 4k² - 1 -; valid for [x] <£.
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