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

question 29

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:

Decoding

The process of interpreting and understanding communication symbols and texts, often used in the context of reading and language comprehension.

Partial Report Method

A technique in cognitive psychology where participants are only asked to recall a subset of the stimuli presented, improving recall accuracy.

Sensory Memory

The shortest-term element of memory, which allows individuals to retain impressions of sensory information after the original stimuli have ended.

Sperling's Study

A classic psychological experiment conducted by George Sperling in the 1960s demonstrating the existence of sensory memory by using a grid of letters and a tone signaling which row to recall.