# Determine functions $y= 2e^{-x}+ 3e^{2x}$ is solution to which of following differential equation
$(a)\;\frac{d^2y}{dx^2}=2y+x \\ (b)\;\frac{d^2y}{dx^2}=\frac{dy}{dx}+2y \\ (c)\;\frac{d^2y}{dx^2}=\frac{dy}{dx}+x \\ (d)\;\frac{d^2y}{dx^2}=\frac{dy}{dx}+y$