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(x² + 2)y" + 3xy' - y = 0 3. a. b. y = a₁ [1 + x² - 1² +4 7 x5 y = a₁x + ²x³. c. y = a√x + ²x³. d. y = a[1+x². - 7 7 4-4! 23-7 8-6! 23-7 x6 8-6! 23-7 8-6! 23-7 8-6! ·x6 14 2-5! 14 ao 2.5! ··] + α₁ [x²x³ +; -x5 ·] + α₁ [1 − ²x² + ₂ ·] + a₁ [1- ··] + α₁₂ [x = ² x ³ 14 x² + -x4 -11 -⠀ -⠀ x4 2-5! 14 2-5! x5 - 34-14 4-71 34-14 -x6 4-7! 34-14 7 4-71 34-14 4-7! 9 x6 -

(x² + 2)y" + 3xy' - y = 0 3. a. b. y = a₁ [1 + x² - 1² +4 7 x5 y = a₁x + ²x³. c. y = a√x + ²x³. d. y = a[1+x². - 7 7 4-4! 23-7 8-6! 23-7 x6 8-6! 23-7 8-6! 23-7 8-6! ·x6 14 2-5! 14 ao 2.5! ··] + α₁ [x²x³ +; -x5 ·] + α₁ [1 − ²x² + ₂ ·] + a₁ [1- ··] + α₁₂ [x = ² x ³ 14 x² + -x4 -11 -⠀ -⠀ x4 2-5! 14 2-5! x5 - 34-14 4-71 34-14 -x6 4-7! 34-14 7 4-71 34-14 4-7! 9 x6 -

Advanced Engineering Mathematics
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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13. (x² + 2)y" + 3xy' - y = 0 7 23-7 a. y = a₁ [1 + x6 +0 ao 4-4! 8-6! b. y = a₁ √x + ²x³. 7 23-7 4.4! 8.6! 7 5 23-7 BEECHER -x7 8-6! 7 23-7 8.6! O a Ob O C O d c. y = a√x + ²x² d. y = a₁ [1 + 4.4! 6 14 + ao [1-²/x² + 3 -x4 2.5! + a₁x- 14 + -x5 2-5! + 1 + -x4 2-5! 6 + 14 14 .5 2-5! - 34-14 4-7! 34-14 4-7! 34.14 x7 4-7! 34-14 4.7! x6 ²x6 -x²
Transcribed Image Text:13. (x² + 2)y" + 3xy' - y = 0 7 23-7 a. y = a₁ [1 + x6 +0 ao 4-4! 8-6! b. y = a₁ √x + ²x³. 7 23-7 4.4! 8.6! 7 5 23-7 BEECHER -x7 8-6! 7 23-7 8.6! O a Ob O C O d c. y = a√x + ²x² d. y = a₁ [1 + 4.4! 6 14 + ao [1-²/x² + 3 -x4 2.5! + a₁x- 14 + -x5 2-5! + 1 + -x4 2-5! 6 + 14 14 .5 2-5! - 34-14 4-7! 34-14 4-7! 34.14 x7 4-7! 34-14 4.7! x6 ²x6 -x²
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