The Solution of the System $\frac { d x } { d t } = - 3 x + 2 y , \frac { d y } { d t } = 4 x - y$

question 16

Multiple Choice

The solution of the system $\frac { d x } { d t } = - 3 x + 2 y , \frac { d y } { d t } = 4 x - y$ is

• A) \(x = c _ { 1 } e ^ { t } + c _ { 2 } e ^ { - 5 t } , y = 2 c _ { 1 } e ^ { t } - c _ { 2 } e ^ { - 5 t }\)
• B) \(x = c _ { 1 } e ^ { t } + c _ { 2 } e ^ { 5 t } , y = 2 c _ { 1 } e ^ { t } - c _ { 2 } e ^ { 5 t }\)
• C) \(x = 2 c _ { 1 } e ^ { t } + c _ { 2 } e ^ { - 5 t } , y = c _ { 1 } e ^ { t } - c _ { 2 } e ^ { - 5 t }\)
• D) \(x = 2 c _ { 1 } e ^ { t } + c _ { 2 } e ^ { 5 t } , y = c _ { 1 } e ^ { t } - c _ { 2 } e ^ { 5 t }\)
• E) \(x = 2 c _ { 1 } e ^ { t } + c _ { 2 } e ^ { - 5 t } , y = 2 c _ { 1 } e ^ { t } - c _ { 2 } e ^ { - 5 t }\)

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