(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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![(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
—.
-⠀](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65cc832c-a157-46ed-83e3-51c45d9f4399%2Fb2740194-c40e-4dc4-9d2c-0f84a3ca3adc%2F9991f3c_processed.png&w=3840&q=75)
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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