4x, 4x + 1, 2e 42, x² cos(4x) CoS

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

Which homogeneous linear differential equation with constant coefficients has as particular solutions to the functions (see img 8)

options (see img 9)

a. D°(D+ 4)(D² + 16)³y= 0
b. D°(D – 4)(D² + 16)²y = 0
c. D(D +4)(D² + 16)³y = 0
d. D(D – 4)(D² + 16)y = 0
Transcribed Image Text:a. D°(D+ 4)(D² + 16)³y= 0 b. D°(D – 4)(D² + 16)²y = 0 c. D(D +4)(D² + 16)³y = 0 d. D(D – 4)(D² + 16)y = 0
4x, 4x + 1, 2e 4z , x² cos(4x)
Transcribed Image Text:4x, 4x + 1, 2e 4z , x² cos(4x)
Expert Solution
Step 1

In this question, we have given the set of particular solutions

4x,4x+1, 2e-4x,x2cos(4x)

To write the corresponding differential equation.

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