For the Differential Equation $\left( x ^ { 2 } - 4 \right) ^ { 2 } y ^ { \prime \prime } - 2 x y ^ { \prime } + y = 0$

question 22

Multiple Choice

For the differential equation $\left( x ^ { 2 } - 4 \right) ^ { 2 } y ^ { \prime \prime } - 2 x y ^ { \prime } + y = 0$ , the point $x = 2$ is

• A) an ordinary point
• B) a regular singular point
• C) an irregular singular point
• D) a special point
• E) none of the above

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Definitions:

Brooks

Refers to the work of psychologist Allan Brooks, known for contributions in cognitive psychology, especially in visual and spatial memory.

Exemplars

Specific instances or examples within a category that are used in cognitive psychology to theorize how people categorize items and ideas.

Prototype View

The prototype view is a theory in cognitive science suggesting that people categorize objects and ideas based on a mental image or "prototype" that represents the most typical example of a category.

Prototype

An abstract representation of an idealized member of a class of objects or events.