Solve the Differential Equation $y ^ { t } = x ^ { 5 } e ^ { - \sin x } - y \cos x$

question 79

Multiple Choice

Solve the differential equation.
$y ^ { t } = x ^ { 5 } e ^ { - \sin x } - y \cos x$

• A) \(y = \left( 6 x ^ { 6 } + C \right) e ^ { - x } \sin x\)
• B) \(y = 5 C e ^ { - \sin x }\)
• C)
• \(y = \left( \frac { 1 } { 6 } x ^ { 6 } + C \right) e ^ { - \sin x }\)
• D) \(y = e ^ { - \sin x } + 5 C x ^ { 5 }\)
• E) \(y = \frac { 1 } { 6 } x + C e ^ { - \cos x }\)

Describe long-term potentiation (LTP) and long-term depression (LTD), and how they can be induced.

Understand the influence of daily biorhythms on various biological and behavioral processes.

Identify and differentiate between circadian, ultradian, and infradian rhythms.

Recognize the role of external cues (Zeitgebers) in entraining biological rhythms.

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