Find the solution to the linear system of differential equations $\displaystyle \left\lbrace \begin{array}{rcl} x^{\,\prime} & = & 17x-30y \\ y^{\,\prime} & = & 10x-18y \end{array} \right.$   satisfying the initial conditions $x(0) = 4$ and $y(0) = 3$.

$x(t) =$
$y(t) =$