Which of the Following Functions Is a Solution of the Differential

question 48

Multiple Choice

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

• A) \(y = e ^ { t }\)
• B) \(y = t e ^ { - 3 t }\)
• C) \(y = 6 e ^ { - 3 t }\)
• D) \(y = e ^ { - \lambda t }\)
• E) \(y = t ^ { 2 } e ^ { - 8 t }\)

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Definitions:

Sample Size

The number of observations or participants in a study, significant for determining the study's statistical power.

Internal Validity

The extent to which a study can demonstrate a clear cause-and-effect relationship, limiting the impact of external variables.

Dependent Variables

In an experiment, these are the variables that are tested and measured to see how they are affected by changes in independent variables.

Cognitive Analysis

The process of breaking down mental activities and thought processes into their components for understanding.