The equation has the following form:
$$x'' + w^2 x=n$$
$w=1$, $x(0)=1$, $n$ is Gaussian noise with mean $0$ and standard deviation of $1$.
Without the Gaussian noise, i can easily solve the equation numerically by using ODE45 in matlab.The problem is, how can i deal with this equation when the Gaussian noise is taken into consideration?