Determine all the singular points of the given differential equation. (0²-13) y' +9y' + (sin 0)y = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The singular point(s) is/are 0 = (Use a comma to separate answers as needed.) B. The singular points are all (Use a comma to separate OC. The singular points are all s s and 0 =. answers as needed.) D. The singular points are all 02 and 0 = (Use a comma to separate answers as needed.) O E. The singular points are all 02 OF. There are no singular points.

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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**Determine all the singular points of the given differential equation.**

\[
\left( \theta^2 - 13 \right) y'' + 9y' + (\sin \theta)y = 0
\]

---

**Select the correct choice below and, if necessary, fill in the answer box to complete your choice.**

- **A.** The singular point(s) is/are \( \theta = \) \(\_\).

  *(Use a comma to separate answers as needed.)*

- **B.** The singular points are all \( \theta \leq \) \(\_\) and \( \theta = \) \(\_\).

  *(Use a comma to separate answers as needed.)*

- **C.** The singular points are all \( \theta \leq \) \(\_\).

- **D.** The singular points are all \( \theta \geq \) \(\_\) and \( \theta = \) \(\_\).

  *(Use a comma to separate answers as needed.)*

- **E.** The singular points are all \( \theta \geq \) \(\_\).

- **F.** There are no singular points.
Transcribed Image Text:**Determine all the singular points of the given differential equation.** \[ \left( \theta^2 - 13 \right) y'' + 9y' + (\sin \theta)y = 0 \] --- **Select the correct choice below and, if necessary, fill in the answer box to complete your choice.** - **A.** The singular point(s) is/are \( \theta = \) \(\_\). *(Use a comma to separate answers as needed.)* - **B.** The singular points are all \( \theta \leq \) \(\_\) and \( \theta = \) \(\_\). *(Use a comma to separate answers as needed.)* - **C.** The singular points are all \( \theta \leq \) \(\_\). - **D.** The singular points are all \( \theta \geq \) \(\_\) and \( \theta = \) \(\_\). *(Use a comma to separate answers as needed.)* - **E.** The singular points are all \( \theta \geq \) \(\_\). - **F.** There are no singular points.
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