Frobenius & Special Functions · Medium problem

Laguerre's equation $xy'' + (1 - x)y' + 2y = 0$ has a regular singular point at $x = 0$ with a double indicial root $r = 0$. The Frobenius solution $y = \sum_{k\ge0}a_kx^k$ with $a_0 = 1$ terminates and is a polynomial. Compute $y(2)$.