Numerical Methods: Euler to Runge–Kutta · Hard problem

Write $y'' + 3y' + 2y = 0$, $y(0) = 1$, $y'(0) = 0$ as a first-order system in $u = y$, $v = y'$, and apply two steps of Euler's method with $h = \dfrac{1}{4}$ to estimate $y\left(\dfrac{1}{2}\right)$. Express your answer as a common fraction.