The Solution Of $y ^ { \prime } + 6 y + 9 \int _ { 0 } ^ { t } y ( \tau ) d \tau = 1 , y ( 0 ) = 1$

question 15

Multiple Choice

The solution of $y ^ { \prime } + 6 y + 9 \int _ { 0 } ^ { t } y ( \tau ) d \tau = 1 , y ( 0 ) = 1$ is

• A) \(e ^ { 3 t } - 2 t e ^ { 3 t }\)
• B) \(e ^ { 3 t } + 2 t e ^ { 3 t }\)
• C) \(- e ^ { - 3 t } - 2 t e ^ { - 3 t }\)
• D) \(e ^ { - 3 t } - 2 t e ^ { - 3 t }\)
• E) \(e ^ { - 3 t } + 2 t e ^ { - 3 t }\)

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Definitions:

Contrasted

Highlighting the differences or distinctions between two or more items or concepts.

Power Differentials

The varying levels of influence or control between individuals or groups within a given context, often affecting interactions and outcomes.

Avoid Communicating

The deliberate act of withholding information or not engaging in the exchange of ideas and feedback.

Psychological Safety

A workplace environment where individuals feel safe to take risks, voice their opinions, and express their thoughts without fear of negative consequences.