The Solution of the System $\frac { d x } { d t } = 4 x - y , \frac { d y } { d t } = x + 2 y$

question 1

Multiple Choice

The solution of the system $\frac { d x } { d t } = 4 x - y , \frac { d y } { d t } = x + 2 y$ is

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

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A range of conditions that affect the heart, including coronary artery disease, arrhythmias, and heart failure.

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A disease caused by an uncontrolled division of abnormal cells in a part of the body, potentially leading to invasion of other tissues.

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