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(x² + 2)y" + 3xy' - y = 0 13. a Ob a. y = a₁ 1 [1 + ²/2 x ² [1 + b. y = a₁ [x+₁ 1 -7.2 1.3 4 c. y = ao √√x | +=x² d. y = a[1 + x² 7 4-4! 7 7 "x² x + 4-4! 7 4-4! + ·x³ + 23-7 8-6! 23.7 ·x² + -x6 8-6! 23-7 .5 8-6! -x7 23.7 8-6! -x7 +6 14 •·] + a₁ [x = ²1²x³² +3 ao 2.5! 14 ao 6 · ] + α₁ [1 − ²¹x² + ; [1-1 1/ • 1 + a₂ 6 + a₁ x3 .5 2-5! 14 2-5! 4 2.5! 14 + -x4 + x5 34-14 4-7! 34-14 x7 ²x6 x6 4-7! 34-14 4-7! 34.14 4-7! +x7 —. -⠀

(x² + 2)y" + 3xy' - y = 0 13. a Ob a. y = a₁ 1 [1 + ²/2 x ² [1 + b. y = a₁ [x+₁ 1 -7.2 1.3 4 c. y = ao √√x | +=x² d. y = a[1 + x² 7 4-4! 7 7 "x² x + 4-4! 7 4-4! + ·x³ + 23-7 8-6! 23.7 ·x² + -x6 8-6! 23-7 .5 8-6! -x7 23.7 8-6! -x7 +6 14 •·] + a₁ [x = ²1²x³² +3 ao 2.5! 14 ao 6 · ] + α₁ [1 − ²¹x² + ; [1-1 1/ • 1 + a₂ 6 + a₁ x3 .5 2-5! 14 2-5! 4 2.5! 14 + -x4 + x5 34-14 4-7! 34-14 x7 ²x6 x6 4-7! 34-14 4-7! 34.14 4-7! +x7 —. -⠀

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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(x² + 2)y" + 3xy' - y = 0 13. a Ob a. y = a₁ 1 [1 + ²/2 x ² [1 + b. y = a₁ [x+₁ 1 -7.2 1.3 4 c. y = ao √√x | +=x² d. y = a[1 + x² 7 4-4! 7 7 "x² x + 4-4! 7 4-4! + ·x³ + 23-7 8-6! 23.7 ·x² + -x6 8-6! 23-7 .5 8-6! -x7 23.7 8-6! -x7 +6 14 •·] + a₁ [x = ²1²x³² +3 ao 2.5! 14 ao 6 · ] + α₁ [1 − ²¹x² + ; [1-1 1/ • 1 + a₂ 6 + a₁ x3 .5 2-5! 14 2-5! 4 2.5! 14 + -x4 + x5 34-14 4-7! 34-14 x7 ²x6 x6 4-7! 34-14 4-7! 34.14 4-7! +x7 —. -⠀
Transcribed Image Text:(x² + 2)y" + 3xy' - y = 0 13. a Ob a. y = a₁ 1 [1 + ²/2 x ² [1 + b. y = a₁ [x+₁ 1 -7.2 1.3 4 c. y = ao √√x | +=x² d. y = a[1 + x² 7 4-4! 7 7 "x² x + 4-4! 7 4-4! + ·x³ + 23-7 8-6! 23.7 ·x² + -x6 8-6! 23-7 .5 8-6! -x7 23.7 8-6! -x7 +6 14 •·] + a₁ [x = ²1²x³² +3 ao 2.5! 14 ao 6 · ] + α₁ [1 − ²¹x² + ; [1-1 1/ • 1 + a₂ 6 + a₁ x3 .5 2-5! 14 2-5! 4 2.5! 14 + -x4 + x5 34-14 4-7! 34-14 x7 ²x6 x6 4-7! 34-14 4-7! 34.14 4-7! +x7 —. -⠀
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