The Solution of the System of Differential Equations $\begin{array} { l } \frac { d x } { d t } = - 6 x + 5 y \\\frac { d y } { d t } = - 5 x + 4 y\end{array}$

question 10

Multiple Choice

The solution of the system of differential equations $\begin{array} { l } \frac { d x } { d t } = - 6 x + 5 y \\\frac { d y } { d t } = - 5 x + 4 y\end{array}$ is

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

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