Match the Logistic Differential Equation and Initial Condition with the Graph

question 15

Multiple Choice

Match the logistic differential equation and initial condition with the graph of its solution shown below.

• A) \(\frac { d y } { d t } = y \left( y - \frac { 1 } { 15 } \right) , ( 0,8 )\)
• B) \(\frac { d y } { d t } = y \left( y - \frac { 1 } { 15 } \right) , ( 0,12 )\)
• C) \(\frac { d y } { d t } = y \left( y - \frac { 1 } { 15 } \right) , ( 0,6 )\)
• D) \(\frac { d y } { d t } = y \left( y - \frac { 1 } { 15 } \right) , ( 0,15 )\)
• E) \(\frac { d y } { d t } = y \left( y - \frac { 1 } { 8 } \right) , ( 0,15 )\)

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Definitions:

Psychopathology

The study of mental disorders and abnormal behavior, including their symptoms, causes, and treatments.

Diagnostic

Relating to the assessment and determination of specific diseases or disorders through systematic analysis.

Inflections

Variations in the form of words to express different grammatical categories such as tense, mood, voice, aspect, person, number, gender, and case.

Biological Correlates

Biological factors or processes that are associated with specific psychological or behavioral phenomena.