For the Given Differential Equation, Find the Particular Solution $y = - 9 \ln 2$

question 89

Multiple Choice

For the given differential equation, find the particular solution $y = - 9 \ln 2$ when $x = - \ln 2$ . $\frac { \mathrm { d } y } { \mathrm {~d} x } = 9 - e ^ { - x }$

• A) \(y = 9 x + e ^ { x } - 2\)
• B) \(y = 9 x + e ^ { - x } - 2\)
• C) \(y = - 9 x - e ^ { - x } + 2\)
• D) \(y = 9 x + e ^ { - x }\)
• E) \(y = e ^ { - x } - 2\)

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Definitions:

Secondary-Process Thinking

A mature type of thinking that operates within the boundaries of logic and reality, in contrast to primary-process thinking which is more primitive and pleasure-oriented.

Freud

Refers to Sigmund Freud, the founder of psychoanalysis, known for his theories of the unconscious mind, the Oedipus complex, and the mechanism of repression.

Reality Principle

A psychoanalytic concept that represents the ability of the mind to assess the external world and act upon it accordingly, as opposed to acting on the pleasure principle.

Freud

An Austrian neurologist and the founder of psychoanalysis, known for his theories on the unconscious mind, developmental stages, and defense mechanisms.