Find the general solution of the following equation valid near the origin: (1+4x²) y¹¹-8y=0 |`ymag(1−4x²)+a[{x-22²2-²_7"}]} Option 1 y=(1+4x²) +-√x+Ē (−1)²+¹+3+3=1 44²-1 Option 3 yma Option 2 (−1)²₂ ³+1 Option 4 44²-1 2³2+1 (x(+²)+(-²²] a ₂ (1+4 4².
Find the general solution of the following equation valid near the origin: (1+4x²) y¹¹-8y=0 |`ymag(1−4x²)+a[{x-22²2-²_7"}]} Option 1 y=(1+4x²) +-√x+Ē (−1)²+¹+3+3=1 44²-1 Option 3 yma Option 2 (−1)²₂ ³+1 Option 4 44²-1 2³2+1 (x(+²)+(-²²] a ₂ (1+4 4².
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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Find the general solution of the following equation valid near the origin:
![Find the general solution of the following equation valid near the origin:
(1+4x²) y'' - 8y=0
|ymag(1-4x²) + √2-2223;2+1] =y=(1-40²) + [+ (-1)²23,2-1
2
Option 1
y=(1+4x²) + √(x + (−1)4+1-31, 2+1
*
4k²-1
Option 3
Option 2
22424.
y=a (1+4x²)+a[{x-2 ²4/³2-1"]
Option 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb26382e7-a7c1-4df2-ad52-f2a478b1c2bd%2F798065f0-6a73-4eba-ac06-e879bc1beb80%2Fr0g9ekb_processed.png&w=3840&q=75)
Transcribed Image Text:Find the general solution of the following equation valid near the origin:
(1+4x²) y'' - 8y=0
|ymag(1-4x²) + √2-2223;2+1] =y=(1-40²) + [+ (-1)²23,2-1
2
Option 1
y=(1+4x²) + √(x + (−1)4+1-31, 2+1
*
4k²-1
Option 3
Option 2
22424.
y=a (1+4x²)+a[{x-2 ²4/³2-1"]
Option 4
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