Find the general solution to the vector DE \mathbf{x}^{\prime}=\left(\begin{array}{ll} 1 & 1 \\ 4 & 1 \end{array}\right) \mathbf{x}+\left(\begin{array}{l} 1 \\ 2 \end{array}\right) (a) Using the method of Variation of Parameters.

(b) Using Laplace Transforms.