Say we have solved a 2 variable system for eigen values and vectors and we have the general solution in the form:
$Y(t)=c_1e^t\begin{bmatrix} 1 \\ -3 \end{bmatrix}+c_2e^{2t}\begin{bmatrix} 2 \\ -5 \end{bmatrix}$
and we also given $x(0)=2, y(0)=3$
Which part of $Y(t)$ is $x(t)$ and $y(t)$, so that I can find the constants