The Solution of the System $\frac { d x } { d t } = 5 x + y , \frac { d y } { d t } = 3 x + 3 y$

question 10

Multiple Choice

The solution of the system $\frac { d x } { d t } = 5 x + y , \frac { d y } { d t } = 3 x + 3 y$ is

• A) \(x = c _ { 1 } e ^ { - 6 t } + c _ { 2 } e ^ { - 2 t } , y = c _ { 1 } e ^ { - 6 t } - 3 c _ { 2 } e ^ { - 2 t }\)
• B) \(x = c _ { 1 } e ^ { 6 t } + c _ { 2 } e ^ { 2 t } , y = c _ { 1 } e ^ { 6 t } - 3 c _ { 2 } e ^ { 2 t }\)
• C) \(x = c _ { 1 } e ^ { - 6 t } - 3 c _ { 2 } e ^ { - 2 t } , y = c _ { 1 } e ^ { - 6 t } + c _ { 2 } e ^ { - 2 t }\)
• D) \(x = c _ { 1 } e ^ { 6 t } - 3 c _ { 2 } e ^ { - 2 t } , y = c _ { 1 } e ^ { 6 t } + c _ { 2 } e ^ { - 2 t }\)
• E) \(x = c _ { 1 } e ^ { 6 t } + c _ { 2 } e ^ { - 2 t } , y = c _ { 1 } e ^ { 6 t } - 3 c _ { 2 } e ^ { - 2 t }\)

Describe the process of fertilization and the site where fertilization typically occurs.

Understand the role and mechanisms of action of accessory glands in the reproductive system.

Comprehend the physiological processes that lead to sexual maturation and the role of the reproductive system in maintaining species continuity.

Identify the structural adaptations of the reproductive system that facilitate its functions.

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Bronchi Inflammation

The swelling and irritation of the bronchial tubes, often leading to coughing, mucus production, and breathing difficulties.

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A type of connective tissue rich in collagen fibers that provides support and strength to various structures within the body.

Test Anxiety

A psychological condition where an individual experiences severe distress and worry about their performance before or during an examination, negatively affecting their ability to perform well.

Severe Case

An instance or example of a condition, illness, or situation that exhibits extreme intensity, complexity, or danger.