Solve the Differential Equation $y ^ { \prime } - y = - x y ^ { 2 }$

question 49

Multiple Choice

Solve the differential equation.
- $y ^ { \prime } - y = - x y ^ { 2 }$

• A) \(x - 1 + C\)
• B) \(\frac { e ^ { x } } { ( x + 1 ) + C }\)
• C)\( \frac { e ^ { X } } { e ^ { X } ( x - 1 ) + C }\)
• D) \(x + 1 + C\)

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Definitions:

Thematic Apperception Test

A projective psychological test that asks respondents to create stories about ambiguous scenes, used to assess their attitudes, thoughts, and feelings.

Morgan And Murray

Pioneers in the field of psychology known for developing the Thematic Apperception Test, which assesses personality.

Sigmund Freud

An Austrian neurologist and the founder of psychoanalysis, a clinical method for treating psychopathology through dialogue between a patient and a psychoanalyst.

Rorschach

A projective psychological test consisting of inkblots presented to a subject, the interpretations of which are used to assess personality characteristics and emotional functioning.