=(x)=x+xe2x 7. D²(D²-2) b. D²+(D-2)² =. D+ (D-2)² D²(D-2)² d. O a

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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11.as soon as possible please

### Annihilator of the Given Function(s)

**Problem Statement:**

Find the annihilator of the given function(s):

\[ f(x) = x + xe^{2x} \]

**Options:**

a. \( D^2(D - 2) \)

b. \( D^2 + (D - 2)^2 \)

c. \( D + (D - 2)^2 \)

d. \( D^2(D - 2)^2 \)

**Answer Choices:**

- \( \bigcirc \) a
- \( \bigcirc \) b
- \( \bigcirc \) c
- \( \bigcirc \) d

---

**Explanation:**

In this problem, you are required to select the correct annihilator for the function \( f(x) = x + xe^{2x} \) from the given options.
Transcribed Image Text:### Annihilator of the Given Function(s) **Problem Statement:** Find the annihilator of the given function(s): \[ f(x) = x + xe^{2x} \] **Options:** a. \( D^2(D - 2) \) b. \( D^2 + (D - 2)^2 \) c. \( D + (D - 2)^2 \) d. \( D^2(D - 2)^2 \) **Answer Choices:** - \( \bigcirc \) a - \( \bigcirc \) b - \( \bigcirc \) c - \( \bigcirc \) d --- **Explanation:** In this problem, you are required to select the correct annihilator for the function \( f(x) = x + xe^{2x} \) from the given options.
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