l -y" − (x + 1)y' - y = 0111a. y = a₁ [1 + ¹x² +² x ² + ²¹² x 6 + ... + α₁ [√x +.3 1·x³ +x +=x +466b. y = ao [1 + x². · ²/² x ³ + ²/² x ¹. ++91₂[x+² + 1⁄² x ² + 1⁄² x ³² + 1²/1 x+11c.y = a₁ [1 + ² x ².+...··] + α₁ [x + ²/² x ².ao++x3+41d. y = a₁⁄²x² + ¹²x³ + ¹²x4 + ··· ] + a₂ [½x² + ½ x³ + ²x² + · -]4+ +...·]...

Answered: Image /qna-images/answer/d2d5ac32-3bda-4edc-b418-d3a28ac402cd.jpg

y" − (x + 1)y' - y = 0 a. y = αo [1 + ao 1 + ²/2 x ² *** + ¹ + ²√ xº + ··· ] + α₁₂ [x + · + ½ x + 1²x5+²=²x² + ...] 6 +... ao b. y = a₁ [1 + ¹x² + ²x³ + ²x¹ + ··· ] + α₁ [x + ½ x² + 1⁄² x ³ + 1/² x ¹ c. y = a₁ [1 + ½ x² + ²x³ + ²x¹ + ··· ] + ao [x + ½ x² + ²x³ + ² x ¹. d. y = ao x² + x³ + x² + ... ] + α₁ [¦ x² + x³ + x + + -] +

y" − (x + 1)y' - y = 0 a. y = αo [1 + ao 1 + ²/2 x ² *** + ¹ + ²√ xº + ··· ] + α₁₂ [x + · + ½ x + 1²x5+²=²x² + ...] 6 +... ao b. y = a₁ [1 + ¹x² + ²x³ + ²x¹ + ··· ] + α₁ [x + ½ x² + 1⁄² x ³ + 1/² x ¹ c. y = a₁ [1 + ½ x² + ²x³ + ²x¹ + ··· ] + ao [x + ½ x² + ²x³ + ² x ¹. d. y = ao x² + x³ + x² + ... ] + α₁ [¦ x² + x³ + 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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