Which of the Following Functions Is a Solution of the Differential

question 20

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

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Definitions:

Sinoatrial Node

The heart's natural pacemaker, located in the right atrium, responsible for initiating the heartbeat.

Wave of Depolarization

A rapid change in electrical charge across a cell membrane, leading to nerve impulse transmission or muscle contraction.

QRS Complex

A portion of an electrocardiogram (EKG) representing the depolarization of the heart's ventricles, preceding the ventricular contraction.

Ventricles

Ventricles are the two lower chambers of the heart that receive blood from the atria and pump it out to the lungs and the rest of the body.