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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)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 28E
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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: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)
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
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
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
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