6.试求方程组x'=Ax+f(t)的解varphi(t)(1)varphi(0)=}-11,(2)varphi(0)=0,A=}0&1&00&0&1-6&-11&-6,(3)varphi(0)=}eta_(1)eta_(2),

6.试求方程组$x'=Ax+f(t)$的解$\varphi(t)$ (1)$\varphi(0)=\begin{bmatrix}-1\\1\end{bmatrix},A=\begin{bmatrix}1&2\\4&3\end{bmatrix},f(t)=\begin{bmatrix}e'\\1\end{bmatrix},$ (2)$\varphi(0)=0,A=\begin{bmatrix}0&1&0\\0&0&1\\-6&-11&-6\end{bmatrix},f(t)=\begin{bmatrix}0\\0\\e^{-t}\end{bmatrix},$ (3)$\varphi(0)=\begin{bmatrix}\eta_{1}\\\eta_{2}\end{bmatrix},A=\begin{bmatrix}4&-3\\2&-1\end{bmatrix},f(t)=\begin{bmatrix}\sin t\\-2\cos t\end{bmatrix},$