Find an interval centered about.x=0 for which the given IVP has a unique solution. (x-2)y"+3y=x; y (0) = 0; y'(0) = 1 O (-∞,2] O (-∞,2) O [2, ∞ ) O (2,00)
Find an interval centered about.x=0 for which the given IVP has a unique solution. (x-2)y"+3y=x; y (0) = 0; y'(0) = 1 O (-∞,2] O (-∞,2) O [2, ∞ ) O (2,00)
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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Question
Please answer the 2 questions thank you.
![Find an interval centered about x = 0 for which the given IVP has a unique solution.
(x-2)y" +3y=x; y (0) = 0; y'(0) = 1
O (-∞,2]
0 (-∞,2)
O [2, ∞ )
O (2,00)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55ed9028-c7bd-4813-91a6-ad3e5896ca8c%2F51fe5dbe-7b91-4e3e-bcd2-9433950324c4%2F8m5klsb_processed.png&w=3840&q=75)
Transcribed Image Text:Find an interval centered about x = 0 for which the given IVP has a unique solution.
(x-2)y" +3y=x; y (0) = 0; y'(0) = 1
O (-∞,2]
0 (-∞,2)
O [2, ∞ )
O (2,00)
Transcribed Image Text:The Wronskian is the determinant of a matrix whose entries are functions and its derivatives. A 4th order linear differential equation would have a
matrix size of
and the last row will be the
O 4x4, 3rd derivative of the solution functions.
O 4x4, 4th derivative of the solution functions.
O 3x3, 3rd derivarive of the functions
O 4x4. 2nd derivative of the functions
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![QUESTION 2
y"-y'- 12y=0 can be written using differential operator. Which of the following is incorrectly written?
○ D²y - Dy - 12=0
O D²-D-12=0
O (D²-D-12)y=0
O none of the above
QUESTION 3
A linear operator L can be used as short hand notation for an n-order linear differential equation. Given 4y" - 4y'+y=0. Which is incorrectly
expressed in terms of the linear operator?
O L[y]=0
OL(y) = 0
O Ly=0
O L=4D²-4D+1=0](https://content.bartleby.com/qna-images/question/55ed9028-c7bd-4813-91a6-ad3e5896ca8c/b2d46f5e-2e92-40dc-811c-ea7494e9317d/2zq2e4d_processed.png)
Transcribed Image Text:QUESTION 2
y"-y'- 12y=0 can be written using differential operator. Which of the following is incorrectly written?
○ D²y - Dy - 12=0
O D²-D-12=0
O (D²-D-12)y=0
O none of the above
QUESTION 3
A linear operator L can be used as short hand notation for an n-order linear differential equation. Given 4y" - 4y'+y=0. Which is incorrectly
expressed in terms of the linear operator?
O L[y]=0
OL(y) = 0
O Ly=0
O L=4D²-4D+1=0
Solution
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