  In the present paper we prove that densely, with respect to an $L^p$-like
topology, the Lyapunov exponents associated to linear continuous-time cocycles
$\Phi:\mathbb{R}\times M\to \text{GL}(2,\mathbb{R})$ induced by second order
linear homogeneous differential equations $\ddot
x+\alpha(\varphi^t(\omega))\dot x+\beta(\varphi^t(\omega))x=0$ are almost
everywhere distinct. The coefficients $\alpha,\beta$ evolve along the
$\varphi^t$-orbit for $\omega\in M$ and $\varphi^t: M\to M$ is an ergodic flow
defined on a probability space. We also obtain the corresponding version for
the frictionless equation $\ddot x+\beta(\varphi^t(\omega))x=0$ and for a
Schr\"odinger equation $\ddot x+(E-Q(\varphi^t(\omega)))x=0$, inducing a
cocycle $\Phi:\mathbb{R}\times M\to \text{SL}(2,\mathbb{R})$.
