Determine the singular points of the given differential equation. Classify each singular point as regular or irrègular. (Enter your answers as a comma-separated list. Include both real and complex singular points. If there are no singular points in a certain category, enter NONE.) (x + x - 12)y" + (x + 4)y' + (x - 3)y = 0 regular singular points irregular singular points Need Help? Read It

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Determine the Singular Points of the Given Differential Equation**

In this educational exercise, you will identify the singular points of the following differential equation and classify each singular point as regular or irregular. Please enter your answers in a comma-separated list, including both real and complex singular points. If there are no singular points in a particular category, enter "NONE."

\[ (x^2 + x - 12)y'' + (x + 4)y' + (x - 3)y = 0 \]

**Input Fields:**
- Regular singular points: \( x = \) [Input Box]
- Irregular singular points: \( x = \) [Input Box]

**Support:**
If you need assistance, click the "Read It" button for additional guidance.
Transcribed Image Text:**Determine the Singular Points of the Given Differential Equation** In this educational exercise, you will identify the singular points of the following differential equation and classify each singular point as regular or irregular. Please enter your answers in a comma-separated list, including both real and complex singular points. If there are no singular points in a particular category, enter "NONE." \[ (x^2 + x - 12)y'' + (x + 4)y' + (x - 3)y = 0 \] **Input Fields:** - Regular singular points: \( x = \) [Input Box] - Irregular singular points: \( x = \) [Input Box] **Support:** If you need assistance, click the "Read It" button for additional guidance.
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