5 連立微分方程式に変換

$\displaystyle (1)$	$\displaystyle \hspace{2mm}$	$\displaystyle y^{\prime\prime}+3y^{\prime}+5y=0$	$\displaystyle \hspace{30mm}$	$\displaystyle (2)$	$\displaystyle \hspace{2mm}$	$\displaystyle y^{\prime\prime}+6y^{\prime}+y=0$
$\displaystyle (3)$		$\displaystyle 5y^{\prime\prime}+2xy^{\prime}+3y=0$		$\displaystyle (4)$		$\displaystyle y^{\prime\prime\prime}+y^{\prime}+xy=0$
$\displaystyle (5)$		$\displaystyle 5y^{\prime\prime}+y^{\prime}+y=\sin(\omega x)$		$\displaystyle (6)$		$\displaystyle xy^{\prime\prime}+y^{\prime}+y=e^{x}$
$\displaystyle (7)$		$\displaystyle 5y^{\prime\prime}y^{\prime}+y^{\prime}+y=0$		$\displaystyle (8)$		$\displaystyle y^{\prime\prime}y^{\prime}+x^2y^{\prime}y+y=0$