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${\bf x}(t)=e^{3t}\left (c_1\left [\begin{array}{c}\cos t\\[2mm]\sin t-\cos t\end{array}\right ]+c_2\left [\begin{array}{c}\sin t\\[2mm]\sin t-\cos t\end{array}\right ]\right )$

${\bf x}(t)=e^{3t}\left (c_1\left [\begin{array}{c}\cos t\\[2mm]\sin t-\cos t\end{array}\right ]+c_2\left [\begin{array}{c}\sin t\\[2mm]\sin t+\cos t\end{array}\right ]\right )$

${\bf x}(t)=e^{3t}\left (c_1\left [\begin{array}{c}\cos t\\[2mm]\sin t-\cos t\end{array}\right ]+c_2\left [\begin{array}{c}\sin t\\[2mm]-\sin t-\cos t\end{array}\right ]\right )$

$\mbox{None of the above}$

${\bf x}(t)=e^{3t}\left (c_1\left [\begin{array}{c}\cos t\\[2mm]-\sin t-\cos t\end{array}\right ]+c_2\left [\begin{array}{c}\sin t\\[2mm]-\sin t-\cos t\end{array}\right ]\right )$

${\bf x}(t)=e^{3t}\left (c_1\left [\begin{array}{c}\cos t\\[2mm]\sin t-\cos t\end{array}\right ]+c_2\left [\begin{array}{c}\sin t\\[2mm]-\sin t+\cos t\end{array}\right ]\right )$

${\bf x}(t)=e^{3t}\left (c_1\left [\begin{array}{c}\cos t\\[2mm]\sin t+\cos t\end{array}\right ]+c_2\left [\begin{array}{c}\sin t\\[2mm]-\sin t-\cos t\end{array}\right ]\right )$

Test:	DELA-Section 3.9-Complex roots-Hard
Number of Questions:	6
Time:

	${\bf x}(t)=e^{-t}\left (c_1 \left [ \begin{array}{r} \cos 2t\\[2mm] -\sin 2t \end{array} \right ]+ c_2 \left [ \begin{array}{r} \sin 2t\\[2mm] \cos 2t \end{array} \right ] \right )$
	$\mbox{None of the above}$
	${\bf x}(t) =e^{-2t}\left (c_1 \left [ \begin{array}{r} \cos 2t\\[2mm] -\sin 2t \end{array} \right ]+ c_2 \left [ \begin{array}{r} \sin 2t\\[2mm] \cos 2t \end{array} \right ] \right )$
	${\bf x}(t)=e^{-t}\left (c_1 \left [ \begin{array}{r} \cos 2t\\[2mm] \sin 2t \end{array} \right ]+ c_2 \left [ \begin{array}{r} \sin 2t\\[2mm] \cos 2t \end{array} \right ] \right )$
	${\bf x}(t)=e^{-2t}\left (c_1 \left [ \begin{array}{r} \cos 2t\\[2mm] \sin 2t \end{array} \right ]+ c_2 \left [ \begin{array}{r} \sin 2t\\[2mm] \cos 2t \end{array} \right ] \right )$

	$\mbox{None of the above}$
	${\bf x}(t)=c_1e^{-2t}\left [ \begin{array}{c} 5\cos t\\[2mm] -3\cos t-\sin t \end{array} \right ]+c_2e^{-2t}\left [ \begin{array}{c} 5\sin t\\[2mm] \cos t-3\sin t \end{array} \right ]$
	${\bf x}(t)=c_1e^{-2t}\left [ \begin{array}{c} 2\cos t\\[2mm] -\cos t-\sin t \end{array} \right ]+c_2e^{-2t}\left [ \begin{array}{c} 2\sin t\\[2mm] \cos t-\sin t \end{array} \right ]$
	${\bf x}(t)=c_1e^{-2t}\left [ \begin{array}{c} 3\cos t\\[2mm] -5\cos t-\sin t \end{array} \right ]+c_2e^{-2t}\left [ \begin{array}{c} 3\sin t\\[2mm] 5\cos t-\sin t \end{array} \right ]$
	${\bf x}(t)=c_1e^{-2t}\left [ \begin{array}{c} 3\cos t\\[2mm] -\cos t-\sin t \end{array} \right ]+c_2e^{-2t}\left [ \begin{array}{c} 5\sin t\\[2mm] \cos t-\sin t \end{array} \right ]$

	$\mbox{None of the above}$
	${\bf x}(t)=c_1e^{-2t} \left [ \begin{array}{c} \cos t\\[2mm] 3\cos t+\sin t \end{array} \right ]+ c_2e^{-2t} \left [ \begin{array}{c} 2\sin t\\[2mm] -2\cos t+3\sin t \end{array} \right ]$
	${\bf x}(t)=c_1e^{-2t} \left [ \begin{array}{c} 2\cos t\\[2mm] 3\cos t+\sin t \end{array} \right ]+ c_2e^{-2t} \left [ \begin{array}{c} 2\sin t\\[2mm] -\cos t+3\sin t \end{array} \right ]$
	${\bf x}(t)=c_1e^{-2t} \left [ \begin{array}{c} \cos t\\[2mm] 3\cos t+\sin t \end{array} \right ]+ c_2e^{-2t} \left [ \begin{array}{c} \sin t\\[2mm] -\cos t+3\sin t \end{array} \right ]$
	${\bf x}(t)=c_1e^{-2t} \left [ \begin{array}{c} 2\cos t\\[2mm] \cos t+2\sin t \end{array} \right ]+ c_2e^{-2t} \left [ \begin{array}{c} \sin t\\[2mm] -\cos t+3\sin t \end{array} \right ]$

	${\bf x}(t)=c_1\left [\begin{array}{r}\cos 4t\\[2mm]\sin 4t\end{array}\right ] +c_2\left [\begin{array}{r}\sin 4t\\[2mm]\cos 4t\end{array}\right ]$
	$\mbox{None of the above}$
	${\bf x}(t)=c_1\left [\begin{array}{r}-\cos 4t\\[2mm]\sin 4t\end{array}\right ] +c_2\left [\begin{array}{r}\sin 4t\\[2mm]\cos 4t\end{array}\right ]$
	${\bf x}(t)=c_1\left [\begin{array}{r}\cos 4t\\[2mm]\sin 4t\end{array}\right ] +c_2\left [\begin{array}{r}\sin 4t\\[2mm]-\cos 4t\end{array}\right ]$
	${\bf x}(t)=c_1\left [\begin{array}{r}-\cos 4t\\[2mm]\sin 4t\end{array}\right ] +c_2\left [\begin{array}{r}\sin 4t\\[2mm]-\cos 4t\end{array}\right ]$

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	${\bf x}(t)=c_1\left [\begin{array}{r}-\sin 2t\\[2mm]\cos 2t\end{array}\right ]+c_2\left [\begin{array}{r}\cos 2t\\[2mm]\sin 2t\end{array}\right ]$
	${\bf x}(t)=c_1\left [\begin{array}{r}\sin 2t\\[2mm]\cos 2t\end{array}\right ]+c_2\left [\begin{array}{r}\cos 2t\\[2mm]\sin 2t\end{array}\right ]$
	$\mbox{None of the above}$
	${\bf x}(t)=c_1\left [\begin{array}{r}\sin 2t\\[2mm]\cos 2t\end{array}\right ]+c_2\left [\begin{array}{r}-\cos 2t\\[2mm]\sin 2t\end{array}\right ]$
	${\bf x}(t)=c_1\left [\begin{array}{r}-\sin 2t\\[2mm]\cos 2t\end{array}\right ]+c_2\left [\begin{array}{r}-\cos 2t\\[2mm]\sin 2t\end{array}\right ]$