2. Which of the following is a general solution to the following: x²y" + xy' + (36x² - y = 0 (Hint: As discussed in the lecture, use Y, only when J, and J-, are linearly dependent). A. y = c₁J₁(2x) + C₂J_1(2x) B. y = C₁J₁(x) + C₂Y₁(x) C. y = C₁J₁(6x) + C₂Y₁(6x) 2 D. y = C₁J₁(6x) + C₂J_1(6x)
2. Which of the following is a general solution to the following: x²y" + xy' + (36x² - y = 0 (Hint: As discussed in the lecture, use Y, only when J, and J-, are linearly dependent). A. y = c₁J₁(2x) + C₂J_1(2x) B. y = C₁J₁(x) + C₂Y₁(x) C. y = C₁J₁(6x) + C₂Y₁(6x) 2 D. y = C₁J₁(6x) + C₂J_1(6x)
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
![2. Which of the following is a general solution to the following:
x²y" + xy' + (36x² - 1) y
(Hint: As discussed in the lecture, use Y, only when J, and J-, are linearly dependent).
A. y = c₁J₁(2x) + C₂J_1(2x)
6
B. y = C₁J₁(x) + C₂Y₁(x)
3
3
C. y = c₁₂/₁(6x) + C₂Y₁(6x)
0
D. y = c₁J₁(6x) + c₂] _1(6x)
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8125e78e-cb90-4f62-b2bd-c75f18dfa9c3%2Fe3b85041-7a7a-4b27-8438-fbfc390cca3f%2Fwx9zvak_processed.png&w=3840&q=75)
Transcribed Image Text:2. Which of the following is a general solution to the following:
x²y" + xy' + (36x² - 1) y
(Hint: As discussed in the lecture, use Y, only when J, and J-, are linearly dependent).
A. y = c₁J₁(2x) + C₂J_1(2x)
6
B. y = C₁J₁(x) + C₂Y₁(x)
3
3
C. y = c₁₂/₁(6x) + C₂Y₁(6x)
0
D. y = c₁J₁(6x) + c₂] _1(6x)
2
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