The differential equation
$$y^{\prime\prime}-y^\prime+y = 0$$ has $y =c_1e^{(x/2)}\sin\left(\frac{\sqrt{3}x}{2}\right)+c_2e^{(x/2)}\cos\left(\frac{\sqrt{3}x}{2}\right)$ as a two parameter solution. Find the solution such that $y(0) = 3$ and $y^\prime(0)=6$: