Question 3 Choose an appropriate linear differential operator that annihilates the function 16x 2x¹ O (D OD5 4) O (D-5)6 O (D² + 6)² OD+ D² + D5 Question 4 Choose an appropriate linear differential operator that annihilates the function x + 3x² e OD² (D-6)³ O (D-1)(D− 3)" O D² + (D-6)³ O D(D-6)³ OD+ (D-6)³

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 3
Choose an appropriate linear differential operator that annihilates the function
1 + 6x 2x¹
O (D-4)
O D5
O (D-5)6
O (D² + 6)²
OD+ D² + D5
Question 4
Choose an appropriate linear differential operator that annihilates the function
x+3x² e
O D² (D-6)³
O (D-1)(D-3)"
O D² + (D-6)³
O D(D-6)³
OD+ (D-6)*
Transcribed Image Text:Question 3 Choose an appropriate linear differential operator that annihilates the function 1 + 6x 2x¹ O (D-4) O D5 O (D-5)6 O (D² + 6)² OD+ D² + D5 Question 4 Choose an appropriate linear differential operator that annihilates the function x+3x² e O D² (D-6)³ O (D-1)(D-3)" O D² + (D-6)³ O D(D-6)³ OD+ (D-6)*
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