The Solution of the Differential Equation $y ^ { \prime } - y / x = y ^ { 2 }$

question 12

Multiple Choice

The solution of the differential equation $y ^ { \prime } - y / x = y ^ { 2 }$ is

• A) \(y = c / x - x / 2\)
• B) \(y = 1 / ( c / x - x / 2 )\)
• C) \(y = ( c x - x \ln x )\)
• D) \(y = 1 / ( c x - x \ln x )\)
• E) \(y = 1 + c e ^ { x }\)

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Definitions:

Psychological State

An individual's current mental condition, which can influence thoughts, feelings, and behaviors.

Sentry Duty

The act of guarding or watching for any danger or unexpected activity, typically in military contexts.

Context Effects

The influence of surrounding factors or the situational environment on the perception, interpretation, or memory of information.

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