Is $y = \frac { 1 } { 12 } x ^ { 4 } - \frac { 5 } { 2 } x ^ { 3 } + x ^ { 2 } + C _ { 1 } x + C _ { 2 }$

question 53

True/False

Is $y = \frac { 1 } { 12 } x ^ { 4 } - \frac { 5 } { 2 } x ^ { 3 } + x ^ { 2 } + C _ { 1 } x + C _ { 2 }$ the general solution to the differential equation $\frac { d ^ { 2 } y } { d x ^ { 2 } } = x ^ { 2 } - 15 x + 2$ ?

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Definitions:

ACT Models

Cognitive architecture theories that aim to simulate human thought processes, including how people represent knowledge and produce actions based on that knowledge.

Cognitive Economy

A principle in cognitive psychology that suggests the mind strives to simplify information processing by using the most efficient and simplest ways possible.

Spreading Activation

A theory in cognitive science that explains how information is retrieved from networks in the brain, suggesting that activating one concept triggers the activation of related concepts.

Hierarchical Network Theory

A model in cognitive psychology that suggests concepts are organized in our minds in a hierarchical fashion, with more specific concepts nested under broader categories.