First, verify that $y = c_1e^x + c_2e^{-2x}$ is a solution to the ODE\\
$\frac{d^2y}{dx^2} + \frac{dy}{dx} - 2y = 0.$ \\
where $c_1, c_2 \in \mathbb{R}.$ \\
Then determine $c_1$ and $c_2$ using the following initial conditions:\
$y(0) = 2$, $y'(0) = 1.$ \\
$c_1 = $\\
You can enter numbers as fractions, e.g. 7/11.\\
$c_2 = $
