List of top Ordinary Differential Equations Questions on Systems of Linear First-Order ODEs

The solution \(y(x) = \binom{y_1(x)}{y_2(x)}\) of the initial value problem \[ \frac{dy}{dx} = \begin{pmatrix} -3 & 4 \\ -2 & 3 \end{pmatrix} y, \qquad y(0) = \binom{1}{2} \] is equal to