Which of the Following Functions Is a Solution of the Differential

question 7

Multiple Choice

Which of the following functions is a solution of the differential equation? $y ^ { \prime \prime } + 16 y ^ { \prime } + 64 y = 0$

• A) \(y = e ^ { t }\)
• B) \(y = t e ^ { - 8 t }\)
• C) \(y = 6 e ^ { - 8 t }\)
• D) \(y = e ^ { - 8 t }\)
• E) \(y = t ^ { 2 } e ^ { - 8 t }\)

---

Definitions:

Increased Anxiety

A heightened state of worry, nervousness, or unease, typically about an imminent event or something with an uncertain outcome.

Habituation

The process where an organism becomes less responsive to a stimulus after being exposed to it repeatedly over time.

Sensitization

An increase in behavioral response after exposure to a stimulus, typically due to the repeated administration of a particular stimulus.

Time

The ongoing and unending sequence of occurrences and existence across the past, present, and future, viewed collectively.