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
Related questions
Question
l
![-
y" − (x + 1)y' - y = 0
1
1
1
a. y = a₁ [1 + ¹x² +
² x ² + ²¹² x 6 + ... + α₁ [√x +
.3 1
·x³ +
x +=x +
4
6
6
b. y = ao [1 + x². · ²/² x ³ + ²/² x ¹. +
+91
₂[x+
² + 1⁄² x ² + 1⁄² x ³² + 1²/1 x
+
1
1
c.
y = a₁ [1 + ² x ².
+
...
··] + α₁ [x + ²/² x ².
ao
+
+
x3
+
4
1
d. y = a₁⁄²x² + ¹²x³ + ¹²x4 + ··· ] + a₂ [½x² + ½ x³ + ²x² + · -]
4
+ +
...
·]
...](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40197591-001f-401b-b904-cef816ab00c2%2Fd2d5ac32-3bda-4edc-b418-d3a28ac402cd%2Fp26pu8x_processed.png&w=3840&q=75)
Transcribed Image Text:-
y" − (x + 1)y' - y = 0
1
1
1
a. y = a₁ [1 + ¹x² +
² x ² + ²¹² x 6 + ... + α₁ [√x +
.3 1
·x³ +
x +=x +
4
6
6
b. y = ao [1 + x². · ²/² x ³ + ²/² x ¹. +
+91
₂[x+
² + 1⁄² x ² + 1⁄² x ³² + 1²/1 x
+
1
1
c.
y = a₁ [1 + ² x ².
+
...
··] + α₁ [x + ²/² x ².
ao
+
+
x3
+
4
1
d. y = a₁⁄²x² + ¹²x³ + ¹²x4 + ··· ] + a₂ [½x² + ½ x³ + ²x² + · -]
4
+ +
...
·]
...
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