The Solution of the System of Differential Equations $\begin{array} { l } \frac { d x } { d t } = x + 2 y \\\frac { d y } { d t } = 4 x + 3 y\end{array}$

question 25

Multiple Choice

The solution of the system of differential equations $\begin{array} { l } \frac { d x } { d t } = x + 2 y \\\frac { d y } { d t } = 4 x + 3 y\end{array}$ is

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

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