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

question 34

Multiple Choice

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

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

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Definitions:

Infradian

Pertaining to biological rhythms with a frequency of less than one cycle in 24 hours, such as menstrual cycles.

Altered State

A condition of significant deviation from one’s normal mental or physical state, due to influences like meditation, drugs, or hypnosis.

Consciousness

The state of being aware of and able to think about one's environment, thoughts, feelings, and sensations.

Circadian Rhythms

Natural, internal processes that regulate the sleep-wake cycle and repeat roughly every 24 hours.