Solution
= Solution
The <characteristic polynomial> of this <constant-coefficient differential equation> is $r^2-r-2=(r-2)(r+1)$. Its distinct roots give
$$
\boxed{y(x)=C_1e^{2x}+C_2e^{-x}.}
$$
= Solution
The <characteristic polynomial> of this <constant-coefficient differential equation> is $r^2-r-2=(r-2)(r+1)$. Its distinct roots give
$$
\boxed{y(x)=C_1e^{2x}+C_2e^{-x}.}
$$