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1) Choose the correct answer 1. The differential equation y" – 8y' + y = 0 in the form L(y) = 0, then L = %3D a) D² + 8D b) D³ – D + 1 c) D² – 8D + 1. 2. The differential operator D³ annihilates the function ..... ..... .... a) 2x2 + 3 b) 3x5 – 2x c) e3x cos 3x. 3. A linear differential operator that annihilates the function cos 2x is a) (D² + 4) b) (D² – 4) c) (D+ 4).

1) Choose the correct answer 1. The differential equation y" – 8y' + y = 0 in the form L(y) = 0, then L = %3D a) D² + 8D b) D³ – D + 1 c) D² – 8D + 1. 2. The differential operator D³ annihilates the function ..... ..... .... a) 2x2 + 3 b) 3x5 – 2x c) e3x cos 3x. 3. A linear differential operator that annihilates the function cos 2x is a) (D² + 4) b) (D² – 4) c) (D+ 4).

Advanced Engineering Mathematics
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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Differential equations :Solution a)
1) Choose the correct answer 1. The differential equation y" – 8y' + y = 0 in the form L(y) = 0, then L = a) D² + 8D b) D³ – D + 1 c) D² – 8D + 1. 2. The differential operator D³ annihilates the function ....... а) 2х2 + 3 b) 3x5 – 2x с) езх сos 3х. 3. A linear differential operator that annihilates the function cos 2x is a) (D² + 4) b) (D² – 4) c) (D+ 4).
Transcribed Image Text:1) Choose the correct answer 1. The differential equation y" – 8y' + y = 0 in the form L(y) = 0, then L = a) D² + 8D b) D³ – D + 1 c) D² – 8D + 1. 2. The differential operator D³ annihilates the function ....... а) 2х2 + 3 b) 3x5 – 2x с) езх сos 3х. 3. A linear differential operator that annihilates the function cos 2x is a) (D² + 4) b) (D² – 4) c) (D+ 4).
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