Solve the Differential Equation $$4 \frac { d w } { d t } + 9 e ^ { t + w } = 0$$

question 22

Multiple Choice

Solve the differential equation. $$4 \frac { d w } { d t } + 9 e ^ { t + w } = 0$$

• A) \(w = \frac { 9 } { 4 } e ^ { t } - C\)
• B)
• \(w = - \ln \left( \frac { 9 e ^ { t } } { 4 } - C \right)\)
• C)
• \(w = \ln \left( \frac { 4 } { 9 } + \frac { 4 } { 9 } C e ^ { t } \right) - t\)
• D)
• \(w = \ln \left( \frac { 4 } { 9 } t \right) - t\)
• E) none of these

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Definitions:

Thomas Theorem

is a sociological theory stating that if people define situations as real, they are real in their consequences, highlighting the power of perception in social interaction.

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A branch of philosophy focused on the study of structures of experience and consciousness as experienced from the first-person point of view.

Situations

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Psychoanalysis

A method of psychological therapy and analysis that explores the interaction of conscious and unconscious elements in the mind, founded by Sigmund Freud.